Precalculus Examples

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

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

Step 1

Replace the variable

x

$x$ 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

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

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