Question

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

Answer 1

Answer:

f(2)=1

f^-1(1)=2

f^-1(f(2))=2

f^-1(-2)= -4

f(-4)=-2

f(f^-1(-2))=-2

In general, f^-1(f(x))=f(f^-1(x))= x

Answer 2

Answers: 
f(2) = 1
$f^{-1}$(1) = 2
$f^{-1}$(f(2)) = 2

Explanations:
f(x) = $\frac{1}{2}$x 
$f^{-1}$(x) = 2x 

f(2) = $\frac{1}{2}$(2)
f(2) = 1 

$f^{-1}$(1) = 2(1)
$f^{-1}$(1) = 2

$f^{-1}$(f(2)) = 2($\frac{1}{2}$(2))
$f^{-1}$(f(2)) = 2(1)
$f^{-1}$(f(2)) = 2