Question

let f(x) = 10x-10. Find the value of (f o f^-1) (-10)a)0b)1c)10d)-10

Answer 1

Solution

We are given the following expression to evaluate:

$\begin{gathered} f(x)=10x-10 \\ \\ \text{ Find:} \\ (f\mathrm{}f^{-1})(-10) \end{gathered}$

- In order to solve this question, we should apply the following theorem:

$f(f^{-1})(x)=x_{}$

- Thus, in order to solve the question, we simply substitute x = -10. This is done below:

$\begin{gathered} f(f^{-1})(x)=x \\ \text{put }x=-10 \\ \\ f(f^{-1})(-10)=-10\text{ (OPTION D)} \end{gathered}$

Final Answer

The answer is:

$f(f^{-1})(-10)=-10\text{ (OPTION D)}$