Finite Math Examples

$h (x) = \frac{x^{2} - 36}{x - 6}$ , $x = 3$

Step 1

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

$h (3) = \frac{{(3)}^{2} - 36}{(3) - 6}$

Step 2

Simplify the result.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

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

$h (3) = \frac{9 - 36}{3 - 6}$

Step 2.1.2

Subtract $36$ from $9$ .

$h (3) = \frac{- 27}{3 - 6}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Subtract $6$ from $3$ .

$h (3) = \frac{- 27}{- 3}$

Step 2.2.2

Divide $- 27$ by $- 3$ .

$h (3) = 9$

Step 2.3

The final answer is $9$ .

$9$

Step 3