How do you find the inverse of $f(x)=(x-4)^2$ ?

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Answer 1 · 2018-07-20T17:50:06

The inverse of this function is $f(x)=sqrtx+4$

Considering $f(x)=y$ , to find the inverse function, the $x$ and $y$ values are switched giving the new equation of
$x=(y-4)^2$

Then solve for $y$
$sqrtx=y-4$

$y=sqrtx+4$

How do you find the inverse of f(x)=(x-4)^2f(x)=(x-4)^2?