Question

Use f(x) = 1/2x and f -1(x) =2x to solve the problems. f−1(f(x)) = f(f−1(x))

Answer 1

Hello,

f^(-1)(f(x))=f^(-1)(1/2 * x)=2*(1/2 * x)=(2*1/2)*x=1*x=x
f(f^(-1)(x))=f(2x)=1/2* (2x)=(1/2*2)*x=1*x=x

Answer 2

f(2) = 1

f−1(1) = 2

f−1(f(2)) = 2

Explanation:

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