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

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

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Answer 1 · 2018-03-22T12:21:45

$\frac{x^{2}}{3}$ $x^2/3$ and yes

Explanation:

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

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

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

1 Answer

Explanation:

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