Finite Math Examples

$f (x) = \frac{2 x^{2} - 6}{2 x - 9}$ , $f (4)$

Step 1

Replace the variable $x$ with $4$ in the expression.

$f (4) = \frac{2 {(4)}^{2} - 6}{2 (4) - 9}$

Step 2

Simplify $\frac{2 {(4)}^{2} - 6}{2 (4) - 9}$ .

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Step 2.1

Remove parentheses.

$\frac{2 {(4)}^{2} - 6}{2 (4) - 9}$

Step 2.2

Simplify the numerator.

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Step 2.2.1

Raise $4$ to the power of $2$ .

$\frac{2 \cdot 16 - 6}{2 (4) - 9}$

Step 2.2.2

Multiply $2$ by $16$ .

$\frac{32 - 6}{2 (4) - 9}$

Step 2.2.3

Subtract $6$ from $32$ .

$\frac{26}{2 (4) - 9}$

$\frac{26}{2 (4) - 9}$

Step 2.3

Simplify the denominator.

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Step 2.3.1

Multiply $2$ by $4$ .

$\frac{26}{8 - 9}$

Step 2.3.2

Subtract $9$ from $8$ .

$\frac{26}{- 1}$

$\frac{26}{- 1}$

Step 2.4

Divide $26$ by $- 1$ .

$- 26$

$- 26$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$