How do you find the inverse of $f(x)=3sqrt(x+2)$ ?

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Answer 1 · 2015-12-05T09:40:19

$x=y^2/9-2$

Since $f(x)=y$ , you need to isolate $x$ and express it in terms of $y$ , while now you have written $y$ in terms of $x$ . So, here are the steps:

$y=3sqrt(x+2)$

$y/3 = sqrt(x+2)$ (divided both members by $3$ )

$y^2/9 = x+2$ (squared both members)

$y^2/9-2 = x$ (subtracted $2$ from both terms)

And here we go!

How do you find the inverse of f(x)=3sqrt(x+2)f(x)=3sqrt(x+2)?