Algebra Examples

$f (2) = \frac{3 x^{2} - 7}{4 x^{2} - 3}$

Step 1

Replace the variable $x$ with $2$ in the expression.

$f (2) = \frac{3 {(2)}^{2} - 7}{4 {(2)}^{2} - 3}$

Step 2

Simplify the result.

Tap for more steps...

Step 2.1

Simplify the numerator.

Tap for more steps...

Step 2.1.1

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

$f (2) = \frac{3 \cdot 4 - 7}{4 \cdot 2^{2} - 3}$

Step 2.1.2

Multiply $3$ by $4$ .

$f (2) = \frac{12 - 7}{4 \cdot 2^{2} - 3}$

Step 2.1.3

Subtract $7$ from $12$ .

$f (2) = \frac{5}{4 \cdot 2^{2} - 3}$

$f (2) = \frac{5}{4 \cdot 2^{2} - 3}$

Step 2.2

Simplify the denominator.

Tap for more steps...

Step 2.2.1

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

$f (2) = \frac{5}{4 \cdot 4 - 3}$

Step 2.2.2

Multiply $4$ by $4$ .

$f (2) = \frac{5}{16 - 3}$

Step 2.2.3

Subtract $3$ from $16$ .

$f (2) = \frac{5}{13}$

$f (2) = \frac{5}{13}$

Step 2.3

The final answer is $\frac{5}{13}$ .

$\frac{5}{13}$

$\frac{5}{13}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{13}$

Decimal Form:

$0.\overline{384615}$

Step 4

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