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

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

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

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

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

Step 3

Simplify the numerator.

Subtract $3$ from $3$ .

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

Add $2 x$ and $0$ .

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

Step 4

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

$f (2 x + 3) = x$