Precalculus Examples

$g (- 3) = \frac{x}{\sqrt{9 - x^{2}}}$

Step 1

Replace the variable $x$ with $- 3$ in the expression.

$g (- 3) = \frac{- 3}{\sqrt{9 - {(- 3)}^{2}}}$

Step 2

Raise $- 3$ to the power of $2$ .

$g (- 3) = \frac{- 3}{\sqrt{9 - 1 \cdot 9}}$

Step 3

Multiply $- 1$ by $9$ .

$g (- 3) = \frac{- 3}{\sqrt{9 - 9}}$

Step 4

Subtract $9$ from $9$ .

$g (- 3) = \frac{- 3}{\sqrt{0}}$

Step 5

Rewrite $0$ as $0^{2}$ .

$g (- 3) = \frac{- 3}{\sqrt{0^{2}}}$

Step 6

Pull terms out from under the radical, assuming positive real numbers.

$g (- 3) = \frac{- 3}{0}$

Step 7

The expression contains a division by $0$ . The expression is undefined.

Undefined