Precalculus Examples

$f (x) = x^{2} + 3 x + 4$ , $g (x) = x - 1$ , $(g \circ f)$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (x^{2} + 3 x + 4)$ by substituting in the value of $f$ into $g$ .

$g (x^{2} + 3 x + 4) = (x^{2} + 3 x + 4) - 1$

Step 3

Subtract $1$ from $4$ .

$g (x^{2} + 3 x + 4) = x^{2} + 3 x + 3$

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