Find g(f(x)) f(x)=7x-5 g(x)=(x+5)/7

$f (x) = 7 x - 5$ $g (x) = \frac{x + 5}{7}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (7 x - 5)$ by substituting in the value of $f$ into $g$ .

$g (7 x - 5) = \frac{(7 x - 5) + 5}{7}$

Step 3

Simplify the numerator.

Add $- 5$ and $5$ .

$g (7 x - 5) = \frac{7 x + 0}{7}$

Add $7 x$ and $0$ .

$g (7 x - 5) = \frac{7 x}{7}$

Step 4

Cancel the common factor of $7$ .

Cancel the common factor.

$g (7 x - 5) = \frac{7 x}{7}$

Divide $x$ by $1$ .

$g (7 x - 5) = x$