Finite Math Examples

$f (x) = x^{3} - 4$ , $g (x) = \frac{x + 2}{3}$

Step 1

Replace the function designators with the actual functions in $f (x) \cdot (g (x))$ .

$(x^{3} - 4) \cdot (\frac{x + 2}{3})$

Step 2

Simplify.

Tap for more steps...

Step 2.1

Apply the distributive property.

$x^{3} \frac{x + 2}{3} - 4 \frac{x + 2}{3}$

Step 2.2

Combine $x^{3}$ and $\frac{x + 2}{3}$ .

$\frac{x^{3} (x + 2)}{3} - 4 \frac{x + 2}{3}$

Step 2.3

Combine $- 4$ and $\frac{x + 2}{3}$ .

$\frac{x^{3} (x + 2)}{3} + \frac{- 4 (x + 2)}{3}$

Step 2.4

Combine the numerators over the common denominator.

$\frac{x^{3} (x + 2) - 4 (x + 2)}{3}$

Step 2.5

Factor $x + 2$ out of $x^{3} (x + 2) - 4 (x + 2)$ .

Tap for more steps...

Step 2.5.1

Factor $x + 2$ out of $x^{3} (x + 2)$ .

$\frac{(x + 2) x^{3} - 4 (x + 2)}{3}$

Step 2.5.2

Factor $x + 2$ out of $- 4 (x + 2)$ .

$\frac{(x + 2) x^{3} + (x + 2) \cdot - 4}{3}$

Step 2.5.3

Factor $x + 2$ out of $(x + 2) x^{3} + (x + 2) \cdot - 4$ .

$\frac{(x + 2) (x^{3} - 4)}{3}$