Algebra Examples

$f (x) = 3 x + 5$ , $g (x) = x - 1$ , $g (f (- 3))$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (3 x + 5)$ by substituting in the value of $f$ into $g$ .

$g (3 x + 5) = (3 x + 5) - 1$

Step 3

Subtract $1$ from $5$ .

$g (3 x + 5) = 3 x + 4$

Step 4

Evaluate the result function by replacing $x$ with $- 3$ in the function.

$3 (- 3) + 4$

Step 5

Simplify the evaluated function.

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Step 5.1

Multiply $3$ by $- 3$ .

$- 9 + 4$

Step 5.2

Add $- 9$ and $4$ .

$- 5$