Evaluate the Function g(-1)=x/( square root of 1-x^2)

$g (- 1) = \frac{x}{\sqrt{1 - x^{2}}}$

Step 1

Replace the variable $x$ with $- 1$ in the expression.

$g (- 1) = \frac{- 1}{\sqrt{1 - {(- 1)}^{2}}}$

Step 2

Multiply $- 1$ by ${(- 1)}^{2}$ by adding the exponents.

Multiply $- 1$ by ${(- 1)}^{2}$ .

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

$g (- 1) = \frac{- 1}{\sqrt{1 + (- 1) {(- 1)}^{2}}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$g (- 1) = \frac{- 1}{\sqrt{1 + {(- 1)}^{1 + 2}}}$

Add $1$ and $2$ .

$g (- 1) = \frac{- 1}{\sqrt{1 + {(- 1)}^{3}}}$

Step 3

Raise $- 1$ to the power of $3$ .

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

Step 4

Subtract $1$ from $1$ .

$g (- 1) = \frac{- 1}{\sqrt{0}}$

Step 5

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

$g (- 1) = \frac{- 1}{\sqrt{0^{2}}}$

Step 6

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

$g (- 1) = \frac{- 1}{0}$

Step 7

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

Undefined