For each pair of functions f and g below, find S (8 (x)) and
Please help

For Each Pair Of Functions F And G Below, Find S (8 (x)) AndPlease Help

Answers

Answer 1

9514 1404 393

Answer:

  (a) f(g(x)) = g(f(x)) = x; functions are inverses

  (b) f(g(x)) = g(f(x)) = x +4; functions are not inverses

Step-by-step explanation:

(a)

f(g(x)) = f(1/(6x)) = 1/(6(1/(6x))) = 1/(6/(6x)) = 1/(1/x)

f(g(x)) = x

__

g(f(x)) is the same, because f(x) = g(x).

g(f(x)) = x

f and g are inverses of each other

__

(b)

f(g(x)) = f(x +2) = (x +2) +2

f(g(x)) = x +4

__

g(f(x)) is the same, because f(x) = g(x).

g(f(x)) = x+4

__

f and g are not inverses of each other

Related Questions

According to the graph what is the value of the constant in the equation below


A. 60
B.15
C.72
D.30

Answers

Answer:

60

Step-by-step explanation:

Using the height and width values shown you can calculate the constant:

30 = constant/2

Constant = 30 x 2

Constant = 60

what is the answer to 28.2 divided by 2

Answers

Answer:

14.1

Step-by-step explanation:

ReWrite 2/3 and 3/4 with a common denominator

Answers

Answer:

8/12 and 9/12

Step-by-step explanation:

Answer: 8/12 and 9/12

2/3 = 8/12 and 3/4 = 9/12

To get two fractions with common denominators you can find the least common multiple of the denominators or you can multiply 2/3 x 4 and 3/4 x 3

The lowest common denominator between 4 and 3 is 12

To get from 4 to twelve we multiplied by 3. Whatever you do to the bottom you do to the top. The top number is 3.

3 x 3 = 9

So your new fraction is 9/12. If you simply this you get 3/4 so this checks out ✔️

Now we need to do the other fraction

To get to from 3 to twelve we multiply by 4

3 x 4 = 12

Whatever you do to the bottom you have to do it the same to the top

2 x 4 = 8

Now you get 8/12. 8/12 simplified is 2/3 so this Plato’s checks out ✔️

Scarlett has 14 gallons of gas in her car at the beginning of a trip. Every hour Scarlett drives, she uses 2.5 gallons of gas. Answer the questions below regarding the relationship between the gallons of gas remaining in the tank and the total hours driven.

Answers

Answer:N(5)=1.5

Step-by-step explanation:The independent variable x represents the Number of hours driven and the dependent variable is the gallons of gas remaining, because the gallons of gas remaining depends on the number of hours driven.

A function relating these variables is Nx=14-2.5

So N(5)=1.5 meaning 5 hours of driving will result in 1.5 gallons left in the tank.

If a square has a perimeter of 36cm how long is each side of the square

Answers

Answer:

9 cm

Step-by-step explanation:

→ Remember how many sides a square has

4

→ Divide it by the perimeter

36 ÷ 4 = 9

Step-by-step explanation:

you know what a square is ?

it is a closed shape with 4 sides.

all 4 sides are equally long.

all 4 inner angle are 90 degrees.

you know what a perimeter is ?

it is the circumference, the whole way one time around the shape, around the outline of a given structure.

if you don't know the terms, for heaven's sake, please ask your teacher, your friends, your parents or us here directly.

don't wait. don't be afraid or ashamed.

because this here is an extremely simple problem to solve, once you understand the words used.

so, as per the explanations, the perimeter of a square is the sum of the lengths of all sides. and because all sides are equally long, this means the perimeter is simply 4 times the length of one side.

36 = 4×side

side = 36/4 = 9cm

so, each side of the square is 9cm long.

is 0 a natural number or a whole number

Answers

Answer:

O is a whole number.

Step-by-step explanation:

Answer:

0 is not a natural number, it is a whole number.

Step-by-step explanation:

Negative numbers, fractions, and decimals are neither natural numbers nor whole numbers. N is closed, associative, and commutative under both addition and multiplication (but not under subtraction and division).

Calvin works at a pizza place making pizzas. If he is working alone, he can make an average of 15 3/4 per hour. If he works with his friend Megan, he tends to get distracted, and his rate falls by 1/2 per hour. How many pizzas can Calvin make in a 8- hour shift with Megan?

Explain the operations that will be needed to solve this problem, ans then solve it.

Answers

The fraction 1/2 converts to 0.50 in decimal form.

The mixed number 15 & 3/4 is the same as 15.75

If Calvin is distracted, then he makes 15.75-0.50 = 15.25 pizzas per hour on average.

Multiply by 8 to find the total number of pizzas possible.

8*15.25 = 122

Answer: Calvin can make 122 pizzas overall if he is distracted

Calvin can make 122 pizzas in an 8-hour shift with Megan.

Since Calvin works at a pizza place making pizzas, and if he is working alone, he can make an average of 15 3/4 per hour, but if he works with his friend Megan, he tends to get distracted, and his rate falls by 1/2 per hour, to determine how many pizzas can Calvin make in a 8-hour shift with Megan, the following calculation must be performed:

Rate of pizzas made x number of hours = Total number of pizzas (15 3/4 - 1/2) x 8 = X (15.75 - 0.5) x 8 = X 15.25 x 8 = X 122 = X

Therefore, Calvin can make 122 pizzas in an 8-hour shift with Megan.

Learn more in https://brainly.com/question/14963327

If a motorist asks for ten dollars
worth of gasoline and gasoline
is selling at $1.29 per gallon,
find the number of gallons she
will receive, to the nearest tenth
of a gallon.

Answers

she would get 7.7 gallons of gas

Simplify the following:

Answers

There is nothing there?

Someone please please help!

Answers

Answer:

C.

Step-by-step explanation:

After the given, you need another pair of congruent angles to prove the triangles congruent by AAS. Those angles you need are vertical angles, so they are congruent.

Answer: C.

Together, Arline, Mariana, and Sue have 708 movie star cards. Arline has the most cars, and Sue has the least. The ratio of the number of cards each girl has is 5:4:3. How many movie-star cards does each girl have?

Answers

Answer:

5+4+3=12

708/12=59

59*5=295

59*4=236

59*3=177

Arline=295, Mariana=236, Sue=177

Step-by-step explanation:

I need help answering this question please

Answers

which question do you need help with

Keith plays basketball at a gym. He can get a $20 membership card and pay $2 for every visit, or he can go any time and just pay $5 for each visit. Which two equations represent the two options for his
number of visits with his total ccost?

Answers

Step-by-step explanation:

Got it. Hope this will help.

help on this please

Answers

Answer:

Opening: Opens upwards

Axis of Symmetry: -7/2

Vertex: (-7/2, -81/4)

X - intercepts: (1, 0) and (-8, 0)

Y - intercept: (0, -8)

Step-by-step explanation:

Opening: 'a' is greater than zero

Axis of Symmetry:

[tex]\frac{-7}{2(1)} =\frac{-7}{2}[/tex]

Vertex:

[tex]y= (\frac{-7}{2})^{2} +7(\frac{-7}{2}) -8\\y= (\frac{49}{4}) +(\frac{-49}{2}) -8\\y= \frac{49}{4} +\frac{-98}{4} -8\\y=\frac{-49}{4}-8\\y = \frac{-81}{4}[/tex]

X - intercepts:

(x-1)(x+8)

x = 1 and x = -8

Y - intercept: (0, -8)

[tex]y= 0^{2} +7(0) -8\\\\y= -8\\[/tex]

If f(x) = 4x - 1 and g(x) = 2x - 4, what is (f o g)(x)?

View image for answer choices!

HELP


Answers

>> Function Invers

____________

[tex] \: [/tex]

f(x) = 4x - 1

g(x) = 2x - 4

Soo :

(f o g)(x) = ...

= f(g(x))

= f(2x - 4)

= 4(2x - 4) - 1

= 8x - 16 - 1

= 8x - 17 (D.)

.

Anyone know this im stuck on it.

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

Answer:

A vertical line at a specific x-value of the domain will intersect the graph of a relation at each y-value in the range that

the x-value is mapped to by the relation. If even one such line has more than one intersection, then one input has two

or more outputs and the relation is not a function.

Happy to Help And brainliest please... I do this all the times sense I'm a honors student, let me know if you need help!

Step-by-step explanation:

State if the triangle are congruent by sss sas asa aas or not congruent

Answers

Answer:

(a) SSS

................................

I have more questions to due after this

Answers

Answer:

a reflection over the line y=-x

Step-by-step explanation:

Please answer, I will mark BRAINELIST!

Answers

Answer:

answer is c

Step-by-step explanation:

3x (x-3)=0

than 3x=0 or x-3=0

x=0 or x=3

Answer:

HMMMMMMMMMMMMMMMMMMMMMMMM

Step-by-step explanation:

HMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM

Patty is ordering vests for her scout troop to wear in the Veterans Day parade. She ordered 12 vests from the Festive Features clothing shop. Since this was a bulk order, Festive Features reduced the price of each vest by $6. The total came to $132.
Which equation can you use to find the amount, v, Festive Features normally charges for a vest?

Answers

Answer:

Step-by-step explanation:

what is 4/5 divided by 2/3 simplest

Answers

Answer:

1 1/5

Step-by-step explanation:

4/5 ÷ 2/3

4/5 × 3/2

12/10

6/5

1 1/5

ERIOD
DATE
NAME
4. Priya bought these items at the grocery store. Find each unit price.
a. 12 eggs for $3. How much is the cost per egg?
b. 3 pounds of peanuts for $7.50. How much is the cost per pound?
c. 4 rolls of toilet paper for $2. How much is the cost per roll?
d. 10 apples for $3.50. How much is the cost per apple?

Answers

4$ per egg
2.15 per pound
0.50

Answer:

A 3.00/12=.25 ea

B 7.50/3=2.50/1lb

C 2.00/4=.50ea

S 3.50/10=.35/ea

Here you go! Hope it helps.

Please consider brainly for my answer.

Thank you -= Miss Hawaii

In right triangle PQR, PR = 17, RQ = 15,
= 15,
and PQ = 8. What is tan P?

Answers

Answer:

[tex]\sf\bold \longmapsto \: Tan \: P = \frac{15}{8} [/tex]

Step-by-step explanation:

We know,The formula of Tan ∅ is–

[tex]\sf\longmapsto \: \tan = \frac{opposite}{adjacent} [/tex]

Therefore,Tan P will be Option D

[tex]\sf\longmapsto \: \frac{15}{8} [/tex]

please help with question.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The given pair of lines are parallel to one another ~

The solution is in attachment

Answer:

neither

Step-by-step explanation:

Please help slove thw following expression

Answers

Answer:

i think the answer is 38 because u first answer 4x5 and then 7x7 and then 3x5 and hlthen u subtract 20 from 15 and then u add 5 and 42 and then when u get ur answer of 47 u subtract 9

Find the gradient of the line Joining the points p(-2,6) and Q(3,-2)​

Answers

Answer:

[tex] - \frac{8}{5} [/tex]

Step-by-step explanation:

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

(x₁, y₁) is the 1st coordinate while (x₂, y₂) is the 2nd coordinate.

Gradient of the line

[tex] = \frac{6 - ( - 2)}{ - 2 - 3} [/tex]

[tex] = \frac{6 + 2}{ - 5} [/tex]

[tex] = - \frac{8}{5} [/tex]

Our material handlers make $15 per hour, and it takes them about 15 minutes to complete this process. How much is our handling cost?​

Answers

Answer: $3.75

Step-by-step explanation: $15x15=225/60= 3.75

Our material handling cost is $3.75.

What is cost?

A cost function is a mathematical formula used to used to chart how production expenses will change at different output levels.

How to find the cost per process?

Material handlers make $15 per hour

If it takes them about 15 minutes to complete this process then process in an hour is 60/15 =4

The cost per process is 15/4 =3.75.

Learn more about cost here- brainly.com/question/25233348

#SPJ2

What is the length of ef in the right triangle below?

Answers

Answer: A

Step-by-step explanation:

Using pythagoras;

[tex]25 = \sqrt{7^{2}+ x^{2} }\\25^{2}=7^{2} +x^{2} \\625 = 49 +x^{2} \\576 = x^{2} \\x = 24[/tex]

Please give me a brainliest answer

Answer:

24

Step-by-step explanation:

The Pythagoras theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the square of the other two legs. If AB, BC, and AC are the sides of the triangle, then: BC2 = AB2 + AC2​. While if a, b, and c are the sides of the triangle, then ​c2 = a2 + b2.

√(25²-7²) =

√(625-49)=

√576=

24

What is the equation of the line shown in this graph?
у
5
4
3
(-2,2)
2
1
-5
-4
-3 -2
-1 0
1
2.
3
4
5
-1
-27
(-2,-3)
-3
-4

Answers

Answer: (1,-4)

Step-by-step explanation:ssghvssd5633

Order the ratios from least to greatest:
5:16; 3/8; 2 to 6; 4/15; 12:40
Use a semi-colon to separate each ordered ratio.

Answers

Answer:

13:6 ; 9:4 ; 5:2 ; 20:7 ; 10:3

Step-by-step explanation:

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