Find g(f(x)) f(x)=2x-1 , g(x)=3x

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

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (2 x - 1)$ by substituting in the value of $f$ into $g$ .

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

Step 3

Apply the distributive property.

$g (2 x - 1) = 3 (2 x) + 3 \cdot - 1$

Step 4

Multiply.

Multiply $2$ by $3$ .

$g (2 x - 1) = 6 x + 3 \cdot - 1$

Multiply $3$ by $- 1$ .

$g (2 x - 1) = 6 x - 3$