Finite Math Examples

$f (4) = \frac{7 x^{2} - 1}{x^{2}}$

Step 1

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

$f (4) = \frac{7 {(4)}^{2} - 1}{{(4)}^{2}}$

Step 2

Simplify the result.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

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

$f (4) = \frac{7 \cdot 16 - 1}{4^{2}}$

Step 2.1.2

Multiply $7$ by $16$ .

$f (4) = \frac{112 - 1}{4^{2}}$

Step 2.1.3

Subtract $1$ from $112$ .

$f (4) = \frac{111}{4^{2}}$

$f (4) = \frac{111}{4^{2}}$

Step 2.2

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

$f (4) = \frac{111}{16}$

Step 2.3

The final answer is $\frac{111}{16}$ .

$\frac{111}{16}$

$\frac{111}{16}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{111}{16}$

Decimal Form:

$6.9375$

Mixed Number Form:

$6 \frac{15}{16}$

Step 4

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