For each pair of functions f and g below, find f(g(x)) and g(f(x)). Then, determine whether f and g are inverse of each other.

Simplify answers as much possible. Assume that your expressions are defined for all x in the domain of the composition.

A. f(x)=x-3/2 B. f(x)=6x

g(x)2x+3 g(x)=6x

f(g(x))= f(g(x))=

g(f(x))= g(f(x))=

f and g are inverses of each other A B

f and g are not inverses of each other A B

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The Answers :

g(x)=2x+3 g(x)=6x

f(g(x))= (2x+3) -3/2 f(g(x))=6(6x)

= 2x + 3/2 = 12x

g(f(x))= 2(x-3/2) + 3 g(f(x))=6(6x)

= 2x - 3 + 3 = 12x

= 2x

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Thanks but it was wrong

correct answer is: A. f(g(x))=x g(f(x))=x then, B. should be 36x for both

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