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

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

Set up the composite result function.

$f (g (x))$

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

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

Simplify each term.

Apply the distributive property.

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

Multiply $2$ by $3$ .

$f (x + 3) = 2 x + 6 - 1$

Subtract $1$ from $6$ .

$f (x + 3) = 2 x + 5$