Question
Asked Feb 19, 2019
17 views

Consider the functions f(x) = 3x-15 and g(x) = x/3 +5
a. Find f(g(x))
b. Find g(f(x))
c. Determine whether the functions f and g are inverses of each other

check_circle

Expert Answer

Step 1

f(g(x)) can be obtained by replacing x by g(x) in f(x) and g(f(x)) can be obtained by replacing x by f(x) in g(x) as shown on board

fullscreen
Step 2

If f(g(x)) and g(f(x)) are identity functions ,that is, if f(g(x)) =x a...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra

Other

Related Algebra Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Find the midpoint M of the line segment joining the points A=(1,-2) B=(-7,-8)

A: The given points are…A=(1,-2 ) and B=(-7,-8)The formula to calculate mid-point is…

question_answer

Q: # 41      # 42

A: Find the invested amount in both accounts.Let P be the principal amount.Here, the total simple inter...

question_answer

Q: A woman earned wages of $40,400, received $2000 in interest from a savings​ account, and contributed...

A: (a) To determine the person’s gross income.The gross income consists of the total income, the total ...

question_answer

Q: (X) 16 (D) 16 (E) 256 26. The sequence A is defined by A 100 terms in sequence A? A +2 for each inte...

A: Given, A_1=45 and An=A_(n-1)+2. Using n=2,3,4,.. in this expression we get: A_2=47,A_3=49,A_4=51,......

question_answer

Q: What is 2+2?

A: The given expression is 2+2So it can be rewritten as,

question_answer

Q: Write the equation of the line that has slope m = − 1 and passes through the point (0, 2) . Explain ...

A: Refer to the question the line has slope m = -1 and it passes through the point (0, 2).Then consider...

question_answer

Q: Stan paid $580.50 after taxes for a new television. If the sales tax rate is 7.5%, what was the cost...

A: Given, total cost = $580.50 and sales tax rate = 7.5% 

question_answer

Q: # 90 and #91

A: 90. Solve a formula for a specific variable.

question_answer

Q: Find an equation of the circle whose diameter has endpoints (-3,6) and (-3,3)

A: To calculate the equation of the circle from the provided endpoints coordinate of diameter. The endp...