Calculus Examples

$f (8.99) = \frac{x^{2} - 9 x}{x^{2} - x - 72}$

Step 1

Replace the variable $x$ with $8.99$ in the expression.

$f (8.99) = \frac{{(8.99)}^{2} - 9 \cdot 8.99}{{(8.99)}^{2} - (8.99) - 72}$

Step 2

Simplify the result.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raise $8.99$ to the power of $2$ .

$f (8.99) = \frac{80.8201 - 9 \cdot 8.99}{{8.99}^{2} - (8.99) - 72}$

Step 2.1.2

Multiply $- 9$ by $8.99$ .

$f (8.99) = \frac{80.8201 - 80.91}{{8.99}^{2} - (8.99) - 72}$

Step 2.1.3

Subtract $80.91$ from $80.8201$ .

$f (8.99) = \frac{- 0.0899}{{8.99}^{2} - (8.99) - 72}$

Step 2.2

Simplify the denominator.

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Step 2.2.1

Raise $8.99$ to the power of $2$ .

$f (8.99) = \frac{- 0.0899}{80.8201 - (8.99) - 72}$

Step 2.2.2

Multiply $- 1$ by $8.99$ .

$f (8.99) = \frac{- 0.0899}{80.8201 - 8.99 - 72}$

Step 2.2.3

Subtract $8.99$ from $80.8201$ .

$f (8.99) = \frac{- 0.0899}{71.8301 - 72}$

Step 2.2.4

Subtract $72$ from $71.8301$ .

$f (8.99) = \frac{- 0.0899}{- 0.1699}$

Step 2.3

Divide $- 0.0899$ by $- 0.1699$ .

$f (8.99) = 0.52913478$

Step 2.4

The final answer is $0.52913478$ .

$0.52913478$

Step 3