Mathematics High School

What is the domain of the function?
X+6
f(x)=(x-7)(x+5)
A all real numbers except 7
Ball real numbers except 5 and -7
Call real numbers except -5 and 7
D all real numbers

Answers

Answer 1
I got a domain and range of:
(
−
∞
,
5
)
∪
(
5
,
∞
)
, or
x
≠
5
(
−
∞
,
1
)
∪
(
1
,
∞
)
, or
y
≠
1
The function is undefined for
x
values when the denominator,
x
−
5
, is
0
; it's undefined to divide by
0
. Therefore, when
x
=
5
,
f
(
x
)
is undefined.
f
(
5
)
=
5
+
7
5
−
5
=
12
0
Since the domain is based on the allowed values of
x
, the domain is:
(
−
∞
,
5
)
∪
(
5
,
∞
)
Based on the domain, we would find the range by solving for
x
in terms of
f
(
x
)
, which we will write as
y
=
f
(
x
)
.
y
=
x
+
7
x
−
5
y
(
x
−
5
)
=
x
+
7
x
y
−
5
y
=
x
+
7
x
−
x
y
=
−
5
y
−
7
x
(
1
−
y
)
=
−
5
y
−
7
x
=
−
5
y
−
7
1
−
y
x
=
5
y
+
7
y
−
1
This means when
y
=
1
, the function is undefined as well. So, the range is:
(
−
∞
,
1
)
∪
(
1
,
∞
)
You can see that this is the case in the graph itself:
graph{(x + 7)/(x - 5) [-73.3, 74.9, -37.07, 36.97]}
What you should notice is the horizontal asymptote at
y
=
1
, and the vertical asymptote at
x
=
5
.
Because the function is trying to reach an undefined value at those points (
x
≠
5
,
y
≠
1
), you get these "walls" that cannot be crossed, only ascended or descended from either side.
Answer 2

The required domain of the function is all real numbers except -5 and 7. Option C is correct.

Given that,
f(x) = (x + 6)  /[(x-7)(x+5)]

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
Given function,
f(x) = (x + 6)  /[(x-7)(x+5)]
We can put any real number on the number line except 7 and -5, because at these value function gives the value as infinity.

Thus, the required domain of the function is all real numbers except -5 and 7. Option C is correct.

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Related Questions

Can someone pls Help?? I need it ASAP ❤ 20 points!! Gets Brainliest if right!!

Answers

Answer:

70

Step-by-step explanation:

One photo takes up 528/264 mb, or 2mb.

2x35 = 70mb

2. Larry jogs at a rate of 3 miles every 45 minutes. What is his unit rate in miles
per hour? *

Answers

Larry is running at 4 mph

Answer:

1/15 should be the answer

Step-by-step explanation:

Hope this helps

Consider the polynomial 9x2 – 16.

What is the value of ac?



What is the value of b?



What two numbers multiply to get ac and add to get b?



The factored form of 9x2 – 16 is

Answers

Step-by-step explanation:

The value of ac together is 16(9x^2) or 144x^2

The value of B is zero since there is no B

(b is x, ( note not x^2, but only 1x)

Answer:

What is the value of ac? -144

What is the value of b? 0

What two numbers multiply to get ac and add to get b? -12 and 12

The factored form of 9x² - 16 is (3x-4)(3x+4)

Step-by-step explanation:

Dude trust me

pls help?!?!?!?!?!??!!

Answers

Answer:

m<A = 120°

m<C = 45°

Step-by-step explanation:

We can use the triangle sum theorem to find the measures of the angles.

m<A + m<B + m<C = 180°

Then substitute in their given values.

12x + 12 + 15 + 3x + 18 = 180°

Now simplify the equation and you get

15x + 45 = 180°

Continue to solve

15x = 135

x = 9°

Now substitute this value of 9 for the angle expressions of <A and <C

(12 x 9) +12 = m<A

m<A = 120°

(3 x 9)+ 18 = m<C

m<C = 45°

Hope this helps. To check your answer you can add up all the answers to see if it equals 180°.

LAST CHANCE!
GIVING 100 POINTS AND BRAINLIEST TO WHOEVER ANSWERS THIS QUESTION
WHATS 5+9+9

Answers

Answer:

23

Step-by-step explanation:

in not less than 50 words write an essay on your favorite subject and why u like it
​

Answers

Answer:

i like science because its combines one of my favorite subjects and turns it into logic.

The base charge of a cab in new york is $2.50 as soon as you enter the cab. There is an additional charge of $2.50 per mile traveled. Calculate how many miles you can travel on $20 without giving any tip.

Answers

I HOPE MY ANSWERS HELPS YOU:)

Answer:

7 miles

Step-by-step explanation:

The following histogram represents the number of hours students practice each week for band

How many hours did most students practice?

Answers

the answer is 5-6 :)

Answer:

Most Students practiced 5 to 6 hours

Please help I will give Brainly if right

Answers

answer : -40x^3 - 12x

Pls help i dont know this one

Answers

Answer:

The answer is A :)

Step-by-step explanation:

Teri used 60% of 20 gallons of paint. How much did she use?

Answers

60/100 * 20 = 12 gallons

Which function represents exponential growth?
a. f(x) = 3x
b. f(x) = x3
c. f(x) = x + 3
d. f(x) = 3x
FIRST PERSON TO ANSWER IS THE BRAINLIEST!!!!
PLEASE GIVE EXPLANATION OF HOW!!

Answers

Answer:

Either A or D, but the answer is [tex]f(x) = 3^x[/tex].

Step-by-step explanation:

We can check for exponential growth by checking for an [tex]x[/tex] in the exponent of a constant value in the function, which is this case for [tex]f(x) = 3^x[/tex].

f(x) = x + 3 function represents exponential growth. So the correct option is option is c.

An exponential function is a arithmetic function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is know the base of the function and it will be greater than 0.

An exponential function is explain by the formula f(x) = ax, where the input variable x take place as an exponent.

The exponential curve turn on the exponential function and it depends on the value of the x.

The exponential function is an main arithmetic function which is of the form

f(x) = ax

Exponential Growth

In Exponential Growth, the quantity grow very slowly at first, and then quickly. The rate of change growth over time. The rate of growth becomes faster as time passes. The quick growth is meant to be an “exponential increase”. The formula to explain the exponential growth is:

y = a ( 1+ r )x

Where r is the growth percentage.

Therefore, f(x) = x + 3 is a function represents exponential growth.

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Change in v = 9.8 m/s 2x t. The diagram shows a ball falling toward Earth in a vacuum. 1 Time (s) o 1 y = 0 m/s 2 3 4 What is the velocity of the ball at 3 seconds?

A. 29.4 m/s

B. 39.2 m/s

C.9.8 m/s

D. 19.6 m/s​
I WILL MARK BRANILIEST!!!!!!!

Answers

Answer:

what is the answer

i think  29.4

Step-by-step explanation:

The answer is 29.4

I just did it

A wise man once said, "300 reduced by 3
times my age is 84." What is his age?
A) 72 B) 48
C) 68 D) 61

Answers

Answer:

72

Step-by-step explanation:

Let the man's age be x

300 - 3x = 84

300 - 84 = 3x

216 = 3x

x = 216/3

x = 72

Answer:

A

Step-by-step explanation: cuz 300-72x3=84

REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

first option

Step-by-step explanation:

3x - 7y and - 7y + 3x are equivalent expressions

3x is positive and - 7y is negative

As long as the signs on their coefficients do not change then they can be reversed, that is

3x - 7y = - 7y + 3x

What is the slope of y =4x -3

Answers

4 because y=mx+b and m is the slope so m=4

Tell whether each equation will have a positive or negative solution by just typing positive or negative in the blank.
1. (-1) • (-25)
2. 62 ÷ (-8)
3. 18 ÷ 6
4. (-15) • (5)

Answers

1. positive
2.negative
3.positive
4.negative

A person rented a canoe for 4 hours a paid total of $36. If renting the canoe costs an initial fee of $12 plus an additional amount for each hour the canoe is rented, which graph represents the total cost, y, in dollars, of renting the canoe for x hours.

Answers

Answer:

do you have a picture of the graph??

if not, the canoe is 6$ and hour and the equation to solve was

36=4x+12

Step-by-step explanation:

can someone actually help?

Answers

Answer:

[tex]5\sqrt{2} =7.07106781187[/tex]

Step-by-step explanation:

i hope this was what you were looking for

help me please don't understand (see picture)

Answers

Answer:

< F would be 140 degrees

Step-by-step explanation:

So what you would do is that since they told you angle D is 40 degrees and you know that the 2 lines in there are parallel, and since they are asking for angle F, whne you add angle F and angle H they should equal 180 degrees which you know so you just subtract 40 degrees from 180 and you  get 140 degrees which if angle F and you can subtract 40 since angle H and angle D would be congruent.

What is the sign of f on the interval?

Answers

F is sometimes Positive and sometimes negative on the interval

The function f(x) will be sometimes positive and sometimes negative on the interval

Option (3) is correct.

What is a function?

An arrangement known as a function connects inputs to essentially one output.

In other words, a function is a relationship between variables, and the nature of that relationship—for example, y = sinx and y = x +6—defines the function.

Given function:

f(x) = (x - 5) (2x - 7) (7x - 3)

The term (x - 5) will be negative if x < 5.

The term (2x - 7) will be negative if x<3.5

So, If x = 4, (x - 5) will be negative but (2x - 7) will be positive, resulting in a negative overall value.

Therefore, if x = 3, then (x - 5) will be negative, as well as (2x - 7), making the whole value negative.

Hence, the function f is sometimes positive and sometimes negative on the interval.

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In 5-7, write each number in equivalent forms using
the two other forms of notation: fraction, decimal,
or percent.
5. 27%
6. 0.91
6
7. 100
20 POINTS If YOU ANSWER THIS PLS

Answers

Answer:

5. 27/100 or .27

6. 91% or 91/100

7. 10000% 0r 100/1

Step-by-step explanation:

Im confused by number 7. Do you mean 1.00?

Anyone want points or brainiest here is a question. What is 4-1!
:D

Answers

Answer:

it would 41 amiright?

Answer:

4-1=3

Step-by-step explanation:

hope it helps and have a great day :)

Carla plumbing charges $25 for a service call and $28 per hour, h, for labor for any repair. The total cost , t, for a repair can be calculated using the equation below

Mr Callahan paid a total of $165 for repair. How many hours did it take to complete his repair

Answers

Answer:

It took 5 hours

Step-by-step explanation:

Because 28 times 5 is 140 plus 25 for the call is 165.

9 + 15 using the distributive property to factor out the greatest common factor

Answers

Answer:

    24

Step-by-step explanation:

9 can be broken down to 3 because 3 x 3 = 9

15 can be broken down to 3 also because 3 x 5 = 15

> 9 + 15

= 3 ( 3 ) + 3 ( 5 )

= 3 ( 3 + 5 )

= 3 ( 8 )

= 24

Mr. Dixon is ordering pizzas and breadsticks for a school pizza party and has a budget of $76,
but no more. An order of breadsticks costs $10 and a pepperoni pizza costs $13.
Select the inequality in standard form that describes this situation. Use the given numbers
and the following variables.
x = the number of orders of breadsticks
y = the number of pepperoni pizzas
10 + x + 13 + y s 76
10x + 13y = 76
10 + x + 13 + y 2 76
10x + 13y > 76

Answers

10x+13y=76 is the awnser

Solve the following system of equations for x using elimination

4x + y = 2
x - y = 3

A. -2
B. 1
C. 3.
D.4

Answers

Answer:

A

Step-by-step explanation:

A

Answer:

b 1 ksoeoeskmx

Step-by-step explanation:

ksowoxk374

the base of the rectangular prism has an area of 1/8^2 and hieght of the prism is 2/3ft what is the volume of the prisim

Answers

Answer:

2/24 ft3 there you go mark brainlest

Taylor rates expression with five terms. 05 terms are like terms. How many terms are in equipment expression with the least number of terms? Explain.

Answers

Answer:

i dont know this one sdfghjasdfghj

Step-by-step explanation:

Find m
measure of angle YQR=? Degrees

Answers

Answer:

21°

Step-by-step explanation:

Since these are both equivalent right triangles, ∡RQY and ∡PQY are the same. So set them equal to each other.

16x-27=5x+6

x=3

Next plug x into ∡RQY

16(3)-27=21°

Answer:

Step-by-step explanation:

3

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