Precalculus Examples

$g (0) = \frac{x}{\sqrt{9 - x^{2}}}$

Step 1

Replace the variable $x$ with $0$ in the expression.

$g (0) = \frac{0}{\sqrt{9 - {(0)}^{2}}}$

Step 2

Simplify the result.

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Step 2.1

Simplify the denominator.

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Step 2.1.1

Raising $0$ to any positive power yields $0$ .

$g (0) = \frac{0}{\sqrt{9 - 0}}$

Step 2.1.2

Multiply $- 1$ by $0$ .

$g (0) = \frac{0}{\sqrt{9 + 0}}$

Step 2.1.3

Add $9$ and $0$ .

$g (0) = \frac{0}{\sqrt{9}}$

Step 2.1.4

Rewrite $9$ as $3^{2}$ .

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

Step 2.1.5

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

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

Step 2.2

Divide $0$ by $3$ .

$g (0) = 0$

Step 2.3

The final answer is $0$ .

$0$

Step 3