How do you determine the equation for the inverse of the function $y=2/3x^5$ ?

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Answer 1 · 2017-07-05T13:52:31

$color(blue)(y = root(5)((3x)/2)$

We ca find the inverse of a function by swapping the $x$ and $y$ variables and isolating $y$ again.

$x = 2/3y^5$

Divide both sides by $2/3$

$(3x)/2 = y^5$

Take the fifth root of both sides

$color(blue)(y = root(5)((3x)/2)$

How do you determine the equation for the inverse of the function y=2/3x^5y=2/3x^5?