How do you find the inverse of $y = x^{3} + 5$ $y=x^3 +5$ and is it a function?

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Answer 1 · 2016-06-08T22:46:52

The inverse of a function is found by switching the x and y values in the equation.

$y = x^{3} + 5$ $y = x^3 + 5$

$:. x = y^3 + 5$

$x - 5 = y^3$

$root(3)(x - 5) = y$

$f^(-1)(x) = root(3)(x - 5)$

Here is the graph of $f^(-1)(x)$ :

enter image source here

As you can see, every value of x is accompanied by only one value of y, so this relation is a function .

Hopefully this helps!

How do you find the inverse of y=x^3 +5y=x3+5y=x^3 +5 and is it a function?