How do you find the inverse of $f(x)=sqrt(3x)$ and is it a function?

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Answer 1 · 2018-03-22T12:21:45

$x^2/3$ and yes

Replace $x$ by $f(x)$ and the other way around and solve for $x$ .
$sqrt(3*f(x))=x$
$3*f(x)=x^2$
$f(x)=x^2/3$

Since each value for $x$ has one unique value for $y$ , and each value for $x$ has a $y$ value, it is a function.

How do you find the inverse of f(x)=sqrt(3x) f(x)=sqrt(3x) and is it a function?