Find f(g(x)) f(x)=2x-5 g(x)=(x+5)/2

$f (x) = 2 x - 5$ $g (x) = \frac{x + 5}{2}$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (\frac{x + 5}{2})$ by substituting in the value of $g$ into $f$ .

$f (\frac{x + 5}{2}) = 2 (\frac{x + 5}{2}) - 5$

Step 3

Cancel the common factor of $2$ .

Cancel the common factor.

$f (\frac{x + 5}{2}) = 2 (\frac{x + 5}{2}) - 5$

Rewrite the expression.

$f (\frac{x + 5}{2}) = x + 5 - 5$

Step 4

Combine the opposite terms in $x + 5 - 5$ .

Subtract $5$ from $5$ .

$f (\frac{x + 5}{2}) = x + 0$

Add $x$ and $0$ .

$f (\frac{x + 5}{2}) = x$