Question

For the function f(x) = x2 ­ -12, find (f o f­-1)(4)

Answer 1

I hope this helps you

Answer 2

Answer:
`f(f^(-1))(4)=4`.

Step-by-step explanation:

Given,
`f(x)=x^(2) -12`,

which implies

`f^(-1)(x^(2)-12)=x`.

We have,

`x^(2)-12=4\\\Rightarrow x^(2)=16\\\Rightarrow x=4,-4.`

`\therefore f^(-1)(4)=4,-4.`

`f(f^(-1))(4)=f(4)\\\intertext\textup{or}\\f(f^(-1))(4)=f(-4).`

Also,

`f(4)=f(-4)=4,`

`\therefore f(f^(-1))(4)=4.`