Question

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

F(2)=
F^-1(1)=
F^-1(F(2))

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

Explanation:

Answer 2

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

Explanation: