Write as a Function of x m(x)=x^2-4

$m (x) = x^{2} - 4$

Step 1

Divide each term in $m x = x^{2} - 4$ by $x$ and simplify.

Divide each term in $m x = x^{2} - 4$ by $x$ .

$\frac{m x}{x} = \frac{x^{2}}{x} + \frac{- 4}{x}$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{m x}{x} = \frac{x^{2}}{x} + \frac{- 4}{x}$

Divide $m$ by $1$ .

$m = \frac{x^{2}}{x} + \frac{- 4}{x}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $x^{2}$ and $x$ .

Factor $x$ out of $x^{2}$ .

$m = \frac{x \cdot x}{x} + \frac{- 4}{x}$

Cancel the common factors.

Raise $x$ to the power of $1$ .

$m = \frac{x \cdot x}{x^{1}} + \frac{- 4}{x}$

Factor $x$ out of $x^{1}$ .

$m = \frac{x \cdot x}{x \cdot 1} + \frac{- 4}{x}$

Cancel the common factor.

$m = \frac{x \cdot x}{x \cdot 1} + \frac{- 4}{x}$

Rewrite the expression.

$m = \frac{x}{1} + \frac{- 4}{x}$

Divide $x$ by $1$ .

$m = x + \frac{- 4}{x}$

Move the negative in front of the fraction.

$m = x - \frac{4}{x}$

Step 2

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

$f (x) = x - \frac{4}{x}$

Write as a Function of x m(x)=x^2-4

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