How do you find the inverse of $f (x) = 5 x + 2 ?$ $f(x) = 5x+2?$

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How do you find the inverse of $f (x) = 5 x + 2 ?$ $f(x) = 5x+2?$

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Answer 1 · 2017-11-02T23:00:48

Answer: $f^{- 1} (x) = \frac{x - 2}{5}$ $f^(-1)(x)=(x-2)/5$

Explanation:

Find the inverse of $f (x) = 5 x + 2$ $f(x)=5x+2$

Note that the inverse of a function can be found by flipping the $x$ $x$ and $y$ $y$ variables and solving for $y$ $y$ . In this case, we can treat the $f (x)$ $f(x)$ as a $y$ $y$ , therefore:
$y = 5 x + 2$ $y=5x+2$

Flipping the $x$ $x$ and $y$ $y$ variables, we have:
$x = 5 y + 2$ $x=5y+2$

Solving for $y$ $y$ :
$x = 5 y + 2$ $x=5y+2$
$x - 2 = 5 y$ $x-2=5y$
$y = \frac{x - 2}{5}$ $y=(x-2)/5$ or $f^{- 1} (x) = \frac{x - 2}{5}$ $f^(-1)(x)=(x-2)/5$ for inverse notation

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How do you find the inverse of $f (x) = 5 x + 2 ?$ $f(x) = 5x+2?$

1 Answer

Explanation:

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