Precalculus Examples

$x + y^{3} = 8$

Step 1

Subtract $x$ from both sides of the equation.

$y^{3} = 8 - x$

Step 2

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$y = \sqrt[3]{8 - x}$

Step 3

To rewrite as a function of $x$ , write the equation so that $y$ is by itself on one side of the equal sign and an expression involving only $x$ is on the other side.

$f (x) = \sqrt[3]{8 - x}$