Trigonometry Examples

$f (x) = x^{3}$ , $g (x) = {(x + 1)}^{3}$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f ({(x + 1)}^{3})$ by substituting in the value of $g$ into $f$ .

$f ({(x + 1)}^{3}) = {({(x + 1)}^{3})}^{3}$

Step 3

Multiply the exponents in ${({(x + 1)}^{3})}^{3}$ .

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Step 3.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$f ({(x + 1)}^{3}) = {(x + 1)}^{3 \cdot 3}$

Step 3.2

Multiply $3$ by $3$ .

$f ({(x + 1)}^{3}) = {(x + 1)}^{9}$