Write as a Function of x h(x)=1/(x^2-3)

$h (x) = \frac{1}{x^{2} - 3}$

Step 1

Divide each term in $h x = \frac{1}{x^{2} - 3}$ by $x$ and simplify.

Divide each term in $h x = \frac{1}{x^{2} - 3}$ by $x$ .

$\frac{h x}{x} = \frac{\frac{1}{x^{2} - 3}}{x}$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{h x}{x} = \frac{\frac{1}{x^{2} - 3}}{x}$

Divide $h$ by $1$ .

$h = \frac{\frac{1}{x^{2} - 3}}{x}$

Simplify the right side.

Multiply the numerator by the reciprocal of the denominator.

$h = \frac{1}{x^{2} - 3} \cdot \frac{1}{x}$

Multiply $\frac{1}{x^{2} - 3}$ by $\frac{1}{x}$ .

$h = \frac{1}{(x^{2} - 3) x}$

Reorder factors in $\frac{1}{(x^{2} - 3) x}$ .

$h = \frac{1}{x (x^{2} - 3)}$

Step 2

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

$f (x) = \frac{1}{x (x^{2} - 3)}$

Write as a Function of x h(x)=1/(x^2-3)

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