Algebra Examples

$x = y^{3} - 10$

Step 1

Rewrite the equation as $y^{3} - 10 = x$ .

$y^{3} - 10 = x$

Step 2

Add $10$ to both sides of the equation.

$y^{3} = x + 10$

Step 3

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

$y = \sqrt[3]{x + 10}$

Step 4

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.

$f (x) = \sqrt[3]{x + 10}$