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,

$f(4)=f(-4)=4,$

$\therefore f(f^{-1})(4)=4.$