Find g(f(x)) f(x)=(x-10)/4 , g(x)=4x+10

$f (x) = \frac{x - 10}{4}$ , $g (x) = 4 x + 10$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (\frac{x - 10}{4})$ by substituting in the value of $f$ into $g$ .

$g (\frac{x - 10}{4}) = 4 (\frac{x - 10}{4}) + 10$

Step 3

Cancel the common factor of $4$ .

Cancel the common factor.

$g (\frac{x - 10}{4}) = 4 (\frac{x - 10}{4}) + 10$

Rewrite the expression.

$g (\frac{x - 10}{4}) = x - 10 + 10$

Step 4

Combine the opposite terms in $x - 10 + 10$ .

Add $- 10$ and $10$ .

$g (\frac{x - 10}{4}) = x + 0$

Add $x$ and $0$ .

$g (\frac{x - 10}{4}) = x$