Given two functions, find both compositions of the functions and determine if they are inverses. 4x+1 Зх-1 F(x)== and G(x)=- 4 3 51. Find (F G)(x). 52. Find (G F)(x). 53. Are F(x) and G(x) inverses?
Given two functions, find both compositions of the functions and determine if they are inverses. 4x+1 Зх-1 F(x)== and G(x)=- 4 3 51. Find (F G)(x). 52. Find (G F)(x). 53. Are F(x) and G(x) inverses?
Chapter3: Functions
Section3.7: Inverse Functions
Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?
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Question
Transcribed Image Text:Given two functions, find both compositions of the functions and determine if they are
inverses.
Зх-1
4x +1
F(x) =-
and G(x)=
4
51. Find (F G)(x).
52. Find (G F)(x).
53. Are F(x) and G(x) inverses?
p(x) = x² +2 and q(x)= /x-1
54. Find (p q)(x).
55. Find (q p)(x).
56. Are p(x)and q(x)inverses?
Choices for 51-56:
A) Yes
B) No
C) x
D) 1
E) -1
AB) x+1
AC) x-1
AD) Vx? +1
AE) x-2
BC) x-3
BD) x+4
BE) 3x+1
CD) 4x-1
1
CE) 3x +-
1
DE) 4x -
АВC) 0
Expert Solution
Step 1
Given:
F(x) = 3x - 1 / 4
G (x ) = 4x + 1 / 3
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