Question

What is te value of f(2)

Answer 1

`\large\boxed{f(2)=1;\ f^(-1)(1)=2;\ f^(-1)(f(2))=2}`

Explanation:

We have:

`f(x)=(1)/(2)x` and
`f^(-1)(x)=2x`

f(2) → put x = 2 to the equation of a function f(x):

`f(2)=(1)/(2)(2)=1`

f⁻¹(1) → put x = 1 to the equation of a function f⁻¹(x):

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

f⁻¹(f(2)) → put f(2) = 2 to the equation of a function f⁻¹(x):

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

Answer 2

f(2) = 1

Explanation:

f(x) where x = 2

we plug this into the function named f(x) and solve with the value plugged in

f(2) 1/2(2) = 1