Finite Math Examples

$f^{x} = \sqrt{x^{2 + 1}}$

Step 1

Subtract $\sqrt{x^{2 + 1}}$ from both sides of the equation.

$f^{x} - \sqrt{x^{2 + 1}} = 0$

Step 2

Simplify each term.

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Step 2.1

Add $2$ and $1$ .

$f^{x} - \sqrt{x^{3}} = 0$

Step 2.2

Factor out $x^{2}$ .

$f^{x} - \sqrt{x^{2} x} = 0$

Step 2.3

Pull terms out from under the radical.

$f^{x} - x \sqrt{x} = 0$

Step 3

Set the radicand in $\sqrt{x}$ less than $0$ to find where the expression is undefined.

$x < 0$

Step 4

The equation is undefined where the denominator equals $0$ , the argument of a square root is less than $0$ , or the argument of a logarithm is less than or equal to $0$ .

$x < 0$

$(- \infty, 0)$

Step 5