Precalculus Examples

$f (x) = 3 x$ , $g (x) = 6 x - 6$ , $(g \circ f)$

Set up the composite result function.

$g (f (x))$

Evaluate $g (f (x))$ by substituting in the value of $f$ into $g$ .

$g (3 x) = 6 (3 x) - 6$

Multiply $3$ by $6$ .

$g (3 x) = 18 x - 6$

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