Find g(f(x)) f(x)=2x+3 g(x)=(x-3)/2

$f (x) = 2 x + 3$ $g (x) = \frac{x - 3}{2}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

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

$g (2 x + 3) = \frac{(2 x + 3) - 3}{2}$

Step 3

Simplify the numerator.

Subtract $3$ from $3$ .

$g (2 x + 3) = \frac{2 x + 0}{2}$

Add $2 x$ and $0$ .

$g (2 x + 3) = \frac{2 x}{2}$

Step 4

Cancel the common factor of $2$ .

Cancel the common factor.

$g (2 x + 3) = \frac{2 x}{2}$

Divide $x$ by $1$ .

$g (2 x + 3) = x$