Precalculus Examples

$f (x) = 2 x - 1$ , $g (x) = 3 x$ find $f (g (- 3))$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

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

$f (3 x) = 2 (3 x) - 1$

Step 3

Multiply $3$ by $2$ .

$f (3 x) = 6 x - 1$

Step 4

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

$6 (- 3) - 1$

Step 5

Simplify the evaluated function.

Tap for more steps...

Step 5.1

Multiply $6$ by $- 3$ .

$- 18 - 1$

Step 5.2

Subtract $1$ from $- 18$ .

$- 19$