Find g(f(x)) f(x)=5x-6 , g(x)=(x+6)/5

$f (x) = 5 x - 6$ , $g (x) = \frac{x + 6}{5}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (5 x - 6)$ by substituting in the value of $f$ into $g$ .

$g (5 x - 6) = \frac{(5 x - 6) + 6}{5}$

Step 3

Simplify the numerator.

Add $- 6$ and $6$ .

$g (5 x - 6) = \frac{5 x + 0}{5}$

Add $5 x$ and $0$ .

$g (5 x - 6) = \frac{5 x}{5}$

Step 4

Cancel the common factor of $5$ .

Cancel the common factor.

$g (5 x - 6) = \frac{5 x}{5}$

Divide $x$ by $1$ .

$g (5 x - 6) = x$