Precalculus Examples

$f (x) = 3 x + 10$ $g (x) = x - 2$ Find $g (f (- 10))$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (3 x + 10)$ by substituting in the value of $f$ into $g$ .

$g (3 x + 10) = (3 x + 10) - 2$

Step 3

Subtract $2$ from $10$ .

$g (3 x + 10) = 3 x + 8$

Step 4

Evaluate the result function by replacing $x$ with $- 10$ in the function.

$3 (- 10) + 8$

Step 5

Simplify the evaluated function.

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Step 5.1

Multiply $3$ by $- 10$ .

$- 30 + 8$

Step 5.2

Add $- 30$ and $8$ .

$- 22$