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

Sagot :

Solution

We are given the following expression to evaluate:

[tex]\begin{gathered} f(x)=10x-10 \\ \\ \text{ Find:} \\ (f\mathrm{}f^{-1})(-10) \end{gathered}[/tex]

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

[tex]f(f^{-1})(x)=x_{}[/tex]

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

[tex]\begin{gathered} f(f^{-1})(x)=x \\ \text{put }x=-10 \\ \\ f(f^{-1})(-10)=-10\text{ (OPTION D)} \end{gathered}[/tex]

Final Answer

The answer is:

[tex]f(f^{-1})(-10)=-10\text{ (OPTION D)}[/tex]

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