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

pls help it’s 30 points :)

Which mathematical sentence matches the story?
A school is holding a cake sale to raise money. They are selling cakes for $1 each and soft
drinks for $.50 (50 cents) each. How many cakes and drinks do they have to sell to make
at least $100?

Answers

Answer: they will need to sell 1,000 soft  drinks and 50 cakes

Step-by-step explanation:

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Answers

Answer:

4. [tex]6\sqrt{3}[/tex]

6. [tex]\frac{2\sqrt{6} }{3}[/tex]

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A circle has a diameter of 28 feet. What is the
circumference of the circle?

Answers

Answer:

14

Step-by-step explanation:

the answer is 87.96 ft

PLEASE HELP IT'S TIMED
Order from least to greatest 0, -1.9, -1 4/5, -1/3, and 0.25

Answers

Answer:

0.25, 4/5, 1/3, 1.9 and you answer mine please

Answer:

-1.9,-1 4/5, -1/3, 0, .25

Step-by-step explanation:

2 /8 The Math Club’s spring banquet was a huge success, and Ray and Aletha are calculating the tip. The total bill was $360. What is the amount of tip that Ray and Aletha if they leave a 20% tip? $50 $542 $72 $56

Answers

Answer:

$72

Step-by-step explanation:

im guessing

A line is parallel to y = -3x + 2 and
intersects the point (4,3). What is the
equation of this parallel line?
y = [?]x + [ ]

Answers

Answer:

y=-3x+15

Step-by-step explanation:

un numero aumentado en 5
​

Answers

Answer: x + 5

Step-by-step explanation:


Ms. Merry spent a total of $33.42 to buy 6 books. Each book was the same price. Which expression should be used to estimate the cost of
each book?

Answers

Answer:

down below

Step-by-step explanation:

36/ 6 = 6

real answer is 5.57

In a family of 6 children what is the probability there are exactly 4 girls?

Answers

Answer:

sonn 12 laalkznjsnl nalslaonhfj. alallkzhdbb nLaojahdnldl

if you have three apples and john takes 1 how many do you have

Answers

Answer:

you got two apple left I hope this helps

you would have 2 left

Does y=-2x represent a function

Answers

yeah
.......................

Lauren ran the 400-meter dash in fifty-three and ten hundredths seconds. How
should this decimal be written correctly?



A: . 5310

B: 53.10

C: 53.01

Answers

Answer:

B

Step-by-step explanation:

Im not quite sure but i think it is b i hopeitcan help you!

choose all the equations that are true if x=9
A. x÷27=24
B. 3/8x =3 3/8
C. 8.7+x=17
D. 5x=45​

Answers

Answer:yr

Step-by-step explanation:rt5r

D it’s the answer !!

Solve the following equation: 4(x + 2) - 17 = 35
A: -11
B: 25/2
C: 15
D: 11

Answers

Answer:

D: 11

Step-by-step explanation:

4(x + 2) - 17 = 35

4x+8 - 17=35

4x-9=35

4x=35+9=44

x=44/4=11

the answer is D, the working out is in the photo

What is the equation of the line that passes through (5,-3) and (3,7)

Answers

Answer:

-5x +22

Step-by-step explanation:

The expression 15h + 216 represents the approximate amount of money a family spends at an amusement park in a day, where h is number of hours the family stays at the park. About how much can a family expect to spend if it stays 6.5 hours?

Please help!

Answers

Answer: $313.50

Step-by-step explanation:

25.37 x 3.8
pls help

Answers

Answer:

96.406 :)

Step-by-step explanation:

Answer:

calculator

Step-by-step explanation:

i

Find the volume of a cylinder with a height of 6 cm and a radius of 3 cm. 3 cm 6 cm

Help plz it ia due soon i will mark braniliest​

Answers

Answer:

the answer is A 54

Step-by-step explanation

Answer

A. 54

Step-by-step explanation:

Well for me its B. 54

But I did get a 100 on my test

Which of the following shows the correct solution steps amd solution to 7x-4=-18

Answers

Answer:

D

Step-by-step explanation:

7x - 4 = -18            (add 4 to both sides)

7x = -14                  (divide both sides by 7)

x = -2

the answer is D

HELP PLEASE 30 POINTS!!​

Answers

Answer:

p - w = $25 OR w + $25 = p

Step-by-step explanation:

pencil = p

pen = w

p - w = $25 OR w + $25 = p

What 3-dimensional figure can be created by folding the shape shown below on the dotted lines?

Answers

Answer:

A triangle

Step-by-step explanation: The two squares lean against each other

The prism can be created by folding the shape on the dotted lines.

What is net?

"It is a pattern of a figure on the figure that can be folded to form the three-dimensional geometric structure."

What is a triangular prism?

"It is a prism that made up of two triangular bases and three rectangular sides."

What is cube?

"It is a three-dimensional geometric structure, which has six square faces."

What is pyramid?

"It is three dimensional geometric structure which has a polygonal base and triangular lateral sides."

For given example,

We have been given a net of a three-dimensional figure.

The net consists of three squares and two triangle.

If we create a three-dimensional structure by folding the shape on the dotted lines, then it would be a triangular prism.

As we know the triangular prism consists of three rectangular / square sides and two triangular bases.

Therefore, the prism can be created by folding the shape on the dotted lines.

Learn more about the net here:

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A principal of $2900 is invested at 6.25% interest, compounded annually. How much will the investment be worth after 14 years?

Answers

Answer:

$6774.4

Step-by-step explanation:

Given data

P=$2900

r= 6.25%

t= 14 years

A=???

The compound interest formula is given as

A=P(1+r)^t

substiute

A= 2900(1+0.0625)^14

A= 2900(1.0625)^14

A= 2900*2.336

A= $6774.4

Hence the final amount is $6774.4

What is the sum of the interior
angle measures of a polygon
that has 15 sides?
Sum = [?]°
Hint: Sum = (n-2)180
Enter
Corporation. All Rights Reserved

Answers

n is the amount of sides
sum=13 times 180 =2340

I have a spinner that is divided into 4 equal sections colored red, blue, green, and yellow .If I spin the spinner twice ,What is the probability that the spinner will land on yellow both times ?

Answers

Answer:

is of 25%

Step-by-step explanation:

The probability that the spinner will land on yellow both times is 1/16.

What is probability?

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, A spinner is divided into 4 equal sections colored red, blue, and green.

So, N(S) = 4 and N(R) = 1, N(B) = 1, N(G) = 1 and N(Y) = 1.

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

As the events of getting yellow both times is independent,

The likelihood that the spinner will hit yellow twice is,

P(Y, Y) = P(Y)×P(Y).

P(Y, Y) = (1/4)×(1/4).

P(Y, Y) = 1/16.

learn more about probability here :

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(7, -1) and (21, -5) as a equation

Answers

Answer:

this isn't the answer to this but this is the answer to your other question, its -7.4, -4, 0.2, 1/2, 7.4

Step-by-step explanation:

At the beginning of a population study, city had 210,000 people. Each year since, the population has grown by 5.5%. Let t be the number of years since the start of the study. Let y  be the cities population. Write an exponential function showing the relationship between y and t. 

Y=

Answers

Answer:

y = 210,000(1.055)^t

Step-by-step explanation:

Initial population: p = 210,000

Annual growth rate: 5.5% = 0.055

Number of years: t

Population in year t: y

y = p(1 + r)^t

y = 210,000(1 + 0.055)^t

y = 210,000(1.055)^t

3(2c-5)

the options are
-6c-15
6c+15
6c-15

Answers

Answer:

6c-25

Step-by-step explanation:

comon man lol that's eays

Answer:

Answer would be the last one 6c-15

Step-by-step explanation:

Use distributive property!

the number outside the () times the numbers inside the ()

Write the linear equation in slope-intercept form given the following:

Slope=2/3 ; y-intercept=-1

Answers

Answer:

y = 2/3x -1

Step-by-step explanation:

since the slope is m=2/3 and the line is intersepting at negative 1

the equasion is as follow:

y = 2/3x -1

Good luck.

FB: sharp4math


Given the diagram shown below, state the measurement of 4MKD.
15
K
2)
32
D

Answers

Answer:

MKD = 57

Step-by-step explanation:

15+32

hope it helps you ☺️

Solve the system of equations
Y = 2x
X - Y = 10


Answers

Answer:

x=-10, y=-20

Step-by-step explanation:

first you substiture the y in the second equation with the first

x-2x=10

then solve

1x-2x=-1

-x=10

multiply both sides by a negative to make the varible a

positive

x=-10

now we substitue the x in the first equation with -10

y=2(-10)

y=-20

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