How do I solve and what would the answer be?

Raskul asked Nov 9, 2023

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42 votes

Raskul asked Nov 9, 2023

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14 votes

Given the function:

$f(x)\text{ = }\frac{2}{x\text{ - 5}}$

To find the inverse function:

1. Invert the variables, as follows:

$x\text{ = }(2)/(y-5)$

2. Solve for y:

$\begin{gathered} x\text{ = }(2)/(y-5) \\ \\ y-5=(2)/(x) \\ \\ f^(-1)(x)\text{ = }(2+5x)/(x) \end{gathered}$

Netwer answered Nov 12, 2023

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