Find g(f(x)) f(x)=(x-8)/10 , g(x)=10x+8

$f (x) = \frac{x - 8}{10}$ , $g (x) = 10 x + 8$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (\frac{x - 8}{10})$ by substituting in the value of $f$ into $g$ .

$g (\frac{x - 8}{10}) = 10 (\frac{x - 8}{10}) + 8$

Step 3

Cancel the common factor of $10$ .

Cancel the common factor.

$g (\frac{x - 8}{10}) = 10 (\frac{x - 8}{10}) + 8$

Rewrite the expression.

$g (\frac{x - 8}{10}) = x - 8 + 8$

Step 4

Combine the opposite terms in $x - 8 + 8$ .

Add $- 8$ and $8$ .

$g (\frac{x - 8}{10}) = x + 0$

Add $x$ and $0$ .

$g (\frac{x - 8}{10}) = x$