How do you find the inverse of $y = 5 x + 20$ $y = 5x + 20$ ?

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Answer 1 · 2015-12-19T17:44:05

$I f f (x) = 5 x + 20, t h e n f^{- 1} (x) = \frac{x - 20}{5}$ $If f(x)=5x+20, then f^(-1)(x)=(x-20)/5$

By definition of the inverse function,
$y = f^{- 1} (x) \Leftrightarrow f (y) = x$ $y=f^(-1)(x)iff f(y)=x$

$\Leftrightarrow 5 y + 20 = x$ $iff 5y+20=x$

$\Leftrightarrow y = \frac{x - 20}{5}$ $iff y=(x-20)/5$

How do you find the inverse of y=5x+20y = 5x + 20?