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Find a formula for the inverse, that is find \(\displaystyle f^{-1}(x)\) if \(\displaystyle f(x)=\frac{5 x - 9}{5 x - 2}\).


\(\displaystyle f^{-1}(x)=\frac{2 x - 9}{5 \left(x - 1\right)}\)

Download \(\LaTeX\)

\begin{question}Find a formula for the inverse, that is find $f^{-1}(x)$ if $f(x)=\frac{5 x - 9}{5 x - 2}$.
    \soln{9cm}{$f^{-1}(x)=\frac{2 x - 9}{5 \left(x - 1\right)}$}

\end{question}

Download Question and Solution Environment\(\LaTeX\)
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\begin{document}\begin{question}(10pts) The question goes here!
    \soln{9cm}{The solution goes here.}

\end{question}\end{document}
HTML for Canvas
<p> <p>Find a formula for the inverse, that is find  <img class="equation_image" title=" \displaystyle f^{-1}(x) " src="/equation_images/%20%5Cdisplaystyle%20f%5E%7B-1%7D%28x%29%20" alt="LaTeX:  \displaystyle f^{-1}(x) " data-equation-content=" \displaystyle f^{-1}(x) " />  if  <img class="equation_image" title=" \displaystyle f(x)=\frac{5 x - 9}{5 x - 2} " src="/equation_images/%20%5Cdisplaystyle%20f%28x%29%3D%5Cfrac%7B5%20x%20-%209%7D%7B5%20x%20-%202%7D%20" alt="LaTeX:  \displaystyle f(x)=\frac{5 x - 9}{5 x - 2} " data-equation-content=" \displaystyle f(x)=\frac{5 x - 9}{5 x - 2} " /> .</p> </p>
HTML for Canvas
<p> <p> <img class="equation_image" title=" \displaystyle f^{-1}(x)=\frac{2 x - 9}{5 \left(x - 1\right)} " src="/equation_images/%20%5Cdisplaystyle%20f%5E%7B-1%7D%28x%29%3D%5Cfrac%7B2%20x%20-%209%7D%7B5%20%5Cleft%28x%20-%201%5Cright%29%7D%20" alt="LaTeX:  \displaystyle f^{-1}(x)=\frac{2 x - 9}{5 \left(x - 1\right)} " data-equation-content=" \displaystyle f^{-1}(x)=\frac{2 x - 9}{5 \left(x - 1\right)} " /> </p> </p>