Algebra Examples

$y = x^{3} + 5$

Step 1

Rewrite the equation as $x^{3} + 5 = y$ .

$x^{3} + 5 = y$

Step 2

Subtract $5$ from both sides of the equation.

$x^{3} = y - 5$

Step 3

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

$x = \sqrt[3]{y - 5}$

Step 4

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

$f (y) = \sqrt[3]{y - 5}$