Register
F(x)=4- 3/2x g(x)=1/2x+3/2 determine if the functions are inverses of each other using the composition of functions
62.3k views
0 votes
F(x)=4- 3/2x g(x)=1/2x+3/2

determine if the functions are inverses of each other using the composition of functions

User Deepti Kakade
by
8.4k points

1 Answer

6 votes
For inverse functions f(g(x)) = g(f(x)) = x

f(g(x)) = 4 - 3/2 (1/2 x + 3/2) = 4 - 3/4 x - 9/4 = 7/4 - 3/4x

Therefore, the functions are not inverses.
User Sivanathan
by
8.2k points
← Prev Question Next Question →

No related questions found

Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.5m questions

12.2m answers

Other Questions

What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
Link Copied!