Question

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

f−1(−2) =

f(−4) =

f(f−1(−2)) =

Answer 1

1)= -4

2)= -2

3)= -2

Explanation:

Answer 2

The answer to your question is below

Explanation:

Functions

f(x) = 12x f⁻¹(x) = 2x

a) f⁻¹(-2) = 2(-2)

f⁻¹(-2) = -4

b) f(-4) = 12x

f(-4) = 12(-4)

f(-4) = -48

c) f(f⁻¹(-2)) =

f(f⁻¹(x)) = 12(2x) = 24x

f(f⁻¹(-2)) = 24(-2) = -48

I think your functions are wrong they must be f(x) = 1/2x f⁻¹(x) = 2x

a) f⁻¹(-2) = 2(-2)

= -4

b) f(-4) = 1/2(-4)

= -2

c) f(f⁻¹(x)) = 1/2(2x)

= x

f(f⁻¹(-2)) = -2