Question

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

Answer 1

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)}`