Find g(f(x)) f(x)=4x-5 , g(x)=(x+5)/4

$f (x) = 4 x - 5$ , $g (x) = \frac{x + 5}{4}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (4 x - 5)$ by substituting in the value of $f$ into $g$ .

$g (4 x - 5) = \frac{(4 x - 5) + 5}{4}$

Step 3

Simplify the numerator.

Add $- 5$ and $5$ .

$g (4 x - 5) = \frac{4 x + 0}{4}$

Add $4 x$ and $0$ .

$g (4 x - 5) = \frac{4 x}{4}$

Step 4

Cancel the common factor of $4$ .

Cancel the common factor.

$g (4 x - 5) = \frac{4 x}{4}$

Divide $x$ by $1$ .

$g (4 x - 5) = x$