How do you find the equation for the inverse of $y = \frac{1}{3} x$ $y=1/3x$ ?

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Answer 1 · 2017-02-18T22:02:12

$f^{- 1} (x) = 3 x$ $f^-1(x)=3x$

$f (x) = (\frac{1}{3}) x$ $f(x)=(1/3)x$

$y = (\frac{1}{3}) x$ $y=(1/3)x$ => switch x & y:

$x = (\frac{1}{3}) y$ $x=(1/3)y$ => solve for y:

$y = 3 x$ $y=3x$

$f^{- 1} (x) = 3 x$ $f^-1(x)=3x$ => inverse function

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