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-f(x) = x + 10. Find the inverse of f(x).

User Igor Gilyazov
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1 Answer

14 votes
14 votes

The inverse of f(x) can be obtained as follows:

- replace f(x) in the given equation, as follows:


f(x)=x+10
\Rightarrow y=x+10

- make x the subject of the formula, as follows:


\begin{gathered} y=x+10 \\ \Rightarrow y-10=x \\ \Rightarrow x=y-10 \end{gathered}

- Now, replace with y with x, and replace x with the inverse notation of f(x), as follows:


\begin{gathered} x=y-10 \\ \Rightarrow f^(-1)(x)=x-10 \end{gathered}

Thus, the inverse

User RevNoah
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