Write as a Function of f f^-1(x)=1/(x^3)

Rewrite the expression using the negative exponent rule ${\displaystyle b^{-n}=\frac{1}{b^n}}$.

Combine ${\displaystyle \frac{1}{f}}$ and ${\displaystyle x}$.

Multiply each term by a factor of ${\displaystyle 1}$ that will equate all the denominators. In this case, all terms need a denominator of ${\displaystyle f{x}^3}$. The ${\displaystyle \frac{x}{f}}$ expression needs to be multiplied by ${\displaystyle \frac{x^3}{x^3}}$ to make the denominator ${\displaystyle f{x}^3}$. The ${\displaystyle \frac{1}{x^3}}$ expression needs to be multiplied by ${\displaystyle \frac{f}{f}}$ to make the denominator ${\displaystyle f{x}^3}$.

Multiply the expression by a factor of ${\displaystyle 1}$ to create the least common denominator (LCD) of ${\displaystyle f{x}^3}$.

Multiply ${\displaystyle x}$ by ${\displaystyle x^3}$ by adding the exponents.

Multiply the expression by a factor of ${\displaystyle 1}$ to create the least common denominator (LCD) of ${\displaystyle f{x}^3}$.

Multiply ${\displaystyle f}$ by ${\displaystyle 1}$.

First, use the positive value of the ${\displaystyle \pm }$ to find the first solution.

Next, use the negative value of the ${\displaystyle \pm }$ to find the second solution.

The complete solution is the result of both the positive and negative portions of the solution.