Question 7 of 10
If h(x) = (fºg)(x) and h(x) = Vx+5, find g(x) if f(x) = (x+2.
Answer here

Question 7 Of 10If H(x) = (fg)(x) And H(x) = Vx+5, Find G(x) If F(x) = (x+2.Answer Here

Answers

Answer 1

Answer:

g(x) = x + 3

Step-by-step explanation:

A composite function is a function that is written inside another function which means substituting one function into another function.

Ex: (fоg)(x) is a composite function, where x of f(x) is substituted by g(x)

∵ h(x) = (fоg)(x)

∵ [tex]h(x)=\sqrt{x+5}[/tex]

∵ [tex]f(x)=\sqrt{x+2}[/tex]

→ Substitute x of f(x) by g(x)

∴  (fоg)(x) = [tex]\sqrt{g(x)+2}[/tex]

→ Equate (fоg)(x) by h(x)

∴ [tex]\sqrt{g(x)+2}=\sqrt{x+5}[/tex]

→ Cancel the roots from the two sides

∴ g(x) + 2 = x + 5

→ Subtract 2 from both sides

∴ g(x) + 2 - 2 = x + 5  - 2

g(x) = x + 3


Related Questions

please help meeee T^T

Solve 14 -3x= 23

Answers

Answer: x = 3

Step-by-step explanation:

First you minus 23 by 14 then you get 9. Then you divide it by 3

Solve for q.

q/3 −1
= 3


q =

Answers

Answer:

q = 12

I hope this helps!

2.) state the equation for y

Answers

Answer:

y = 2^(x - 4)

Step-by-step explanation:

f(g(x)) = f(x - 4) = 2^(x - 4)

how much is 2x4x6x8=?

Answers

Answer:

384

Step-by-step explanation:

Answer:

your answer will be 384

Step-by-step explanation:

2x4x6x8=384

Mohammed wrote down all the money coming in and out for the month. Select all the expenses

Answers

What are the answer choices

What do the zero exponent and negative exponent properties mean.

Answers

Answer:

Negative exponents put the exponentiated term in the denominator of a fraction and zero exponents just make the term equal to one.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Primero, cualquier número elevado a la potencia cero es uno. Segundo, los exponentes negativos indican una disposición. Si un exponente es negativo, necesita moverse de donde está al numerador o denominador. Investigaremos esta propiedad más adelante en el Conjunto de Problemas.

Find the value of MN if AB = 9 cm, BC = 7.2 cm, and LM = 12 cm.
ABCD - LMNO

Answers

Answer:

9.6 cm

Step-by-step explanation:

Since the shapes are similar, we can write a proportion. Let x be the length of MN.

9/12 = 7.2/x Write a proportion.

9x = 12(7.2) Use cross products.

9x = 86.4 Multiply.

x = 9.6 Divide both sides by 9.

Side MN is 9.6 cm.

HHHHHHEEEEEELLLLLLPPPPPP!!!!!!

Answers

Answer:

Undefined

Step-by-step explanation:

if the line is like this __________________ then the slope is zero

If the line is vertical like up and down then the line is undefined.

Hope this helped!!!

Answer:

It is undefined slope so it would be x=3

Step-by-step explanation:

52.45 x 4.78 \
What is the value of the expression?

Answers

i think the answer is 250.711

Answer:

250.711

Step-by-step explanation:

You just multiply my dude.

2) Which key word is a real life example of a positive integer?

Withdrawal

Above sea level

loss

decreased

Answers

Answer:

above sea level

Step-by-step explanation:

as anything bellow sea level would be negative meters and if you go up the number gets larger.

Above sea level anything that is above 0 is a positive integer

what's the answer? please help

Answers

Answer:

the slope is -7/3

Step-by-step explanation:

8-15/10-7

-7/3

Change each percent to a decimal or a mixed decimal
43%
2 1/2%
13.6%
521%

Answers

43/100 = 0.43

21/2/100 = 0.105

13.6/100 = 0.136

521/100 = 5.21

Are the following fractions proportional?? .4/.8 and .71/.4

Answers

Answer:

yes they are

Step-by-step explanation:

see nobody answers correctly:)


Evaluate f(x) = 1/4x
for x = -5.

A. 20
B. -1/20
C. -1 1/4
D. -4/5

Answers

Answer:

C. -1 1/4

Step-by-step explanation:

First, we substitute -5 for x.

[tex]f(-5)=\frac{1}{4} *-5[/tex]

Then, we evaluate.

[tex]f(-5)=\frac{1}{4} *-5=\frac{-5}{4} =-1\frac{1}{4}[/tex]

It cost $5000 to feed
100 guest at a wedding. It
cost $2750 to feed 45
guests. What is the cost
per plate?

Answers

Answer:

Okays so for 100 guests we can make the equation $5000 ÷ 100 = $50.00

For 100 guests at the wedding it would cost $50.00 per plate

For 45 guests we can make the equation $2750 ÷ 45 = $61.111111111111, it would be a repeating decimal

For 45 guests at the wedding, it would cost $61.111111111111

I hope that this can help you! ^‿^

A group of friends go to the haunted museum
together. Each person pays $6.50 to get in. They
spend a total of $21 for the zombie exhibit. The
total cost is $60. Write an equation and then solve to
find how many people went to the haunted museum.

Answers

Equation: 6.50x + 21 = 60
Answer: x = 6

Cassie has a small cube-shaped box. Its volume is 64 cubic centimeters.
What is the area of one face of the box? Enter your answer in the box.
PLZ HELP DUE IN 5 MINUTES

Answers

Answer:  one face is 16 square inches

Step-by-step explanation:

[tex]\sqrt[3]{64} = 4[/tex]  side length

4 × 4 = 16  the area of one face

what are the x and y intercept for the inequality 2x + 4y < -8

Answers

D i’m pretty sure!!!

The angle between 0° and 360° that is coterminal with the 664° angle is
degrees.

Answers

Answer:

it would be 0.5 degrees

Rebecca’s boss pays her time and a half for overtime work. If her regular wage is $13.50 per hour, what is her overtime rate?

Answers

Answer: 20.25

Step-by-step explanation: Rebecca can expect to be making her regular 13.50 an hour, however once time and a half hits she’s looking at taking her 13.50 and dividing it by 2. So 13.50 divided by two is 6.75. You then take that 6.75 and add it on top of her regular 13.50 hourly. Putting you at 20.25 for time and a half.

Find the value of the expression below
8(15-4)/4^2-5

Answers

Reduce the expression, if possible, by cancelling the common factors.

Answer:
8

Answer:

8 IS YOUR ANSWER

Step-by-step explanation:

HAVE A GREAT DAY

How can you estimate the area of a irregular figure?

Answers

Answer: To find the area of irregular shapes, the first thing to do is to divide the irregular shape into regular shapes that you can recognize such as triangles, rectangles, circles, squares and so forth... Then, find the area of these individual shapes and add them up!

Answer:

and that how you estimate the area of an irregular figure

Which equation is equivalent to 2x+3y=12

Answers

some possible equations equivalent to 2x+3y=12 would be:

1)

y=−2x+12/3

written form:

y= negative 2x plus 12 over/divided by 3

2)

y=−2/3x+4

written form:

y= negative 2 over/divided by 3x plus 4

3)

y=4−2/3x

written form:

y= 4 minus 2 over/divided by 3x

4)

y=12−2x/3

written form:

y= 12 minus 2x over/divided by 3

those are all i could think of! Hope this helped :)

If its too complicated comment and ill try to simplify it. remember ITS NEVER WRONG TO ASK QUESTIONS!!!

The equivalent expression for the equation 2x + 3y = 12 are:

x = 6 - 3y/2

y = 4 - 2x/3

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

2x + 3y = 12

We need to find an equivalent expression for this equation.

We can have many forms:

Case 1.

2x + 3y = 12

Subtracting 3y on both sides.

2x + 3y - 3y = 12 - 3y

2x = 12 - 3y

Dividing 2 into both sides.

x = 12/2 - 3y/2

x = 6 - 3y/2

Case 2.

2x + 3y = 12

Subtracting 2x on both sides.

2x + 3y - 2x = 12 - 2x

3y = 12 - 2x

Dividing 3 into both sides.

y = 12/3 - 2x/3

y = 4 - 2x/3

Thus the equivalent expression for the equation 2x + 3y = 12 are:

x = 6 - 3y/2

y = 4 - 2x/3

Learn more about equations here:

https://brainly.com/question/10188283

#SPJ5

A shoe store has 23 pairs off white tennis shoes out of 90 pairs of shoes. Estimate the percent of white tennis shoes.

Answers

Answer:

percent=25.56%

Step-by-step explanation:

Percentages

To know the percentage of having n elements out of a total of m elements, we calculate the ratio n/m and express the result as a percentage.

The shoe store has 23 pairs of white shoes out of 90 total pairs of shoes. The percent of white tennis shoes is calculated as follows:

[tex]\displaystyle percent= \frac{23}{90}*100\%[/tex]

Operating:

percent=25.56%

if a football player gains 40 yards on a play, but the next play he loses 10 yards. how many total yards does he have?

Answers

Answer:

30 yards

Step-by-step explanation:

40 - 10 =30

The correct answer is 30 yards

2x2 forma exponencial

Answers

4 or (2)^2 that’s what I think it’s asking but the question should be more clear

anyone wanna bang? ​

Answers

Answer:

me

Step-by-step explanation:

Answer:

Yes pls

Step-by-step explanation:

im thirsty my guy

HELP PLEASE WILL GIVE BRAINLIEST

Answers

Answer:
$1.21

Explanation:
What we know:
- $5.88=3 pounds of apples
- price went up by $0.75 per pound

First, we divide $5.88 by 3 to find out how much one pound of apples cost.

5.88/3
=1.96

Therefore, the new price of apples per pound is $1.96.

Because the old price of apples per pound was $0.75 cheaper, we subtract 0.75 from 1.96.

1.96-0.75
=1.21

Therefore, the old price of apples per pound was $1.21.

I hope this helps! Please comment if you have any questions.
$1.21 hope this helps

Mitchell’s dog is 1/3 the age of Kayla’s cat . The sum of their ages is 12 years. How old is Mitchell’s dog?

Answers

Answer:

Mithcells dog is 3

Step-by-step explanation:

if its one third then you divide by 4 and get 3.

checking your answer

if mitchells dog is 3 and kaylas cat is three times that it would be 9

9+3=12

sorry if this is wrong :)

Can you please help me?

Answers

Answer: 325

Step-by-step explanation:

All your doing is multiplying

Answer:

The answer is 325

Step-by-step explanation:

the problem directly tells me that c(x)= 50x is how many words i can type in x minutes. then proceeds to ask me how many words i can type in 6.5 minutes.

in this case, x=6.5.

substitute and solve!

c(6.5)= 50(6.5)

c(6.5)= 325

according to this function, i can type 325 words in 6.5 minutes.

hope this helps!!

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