Find f(g(x)) f(x)=10x+6 , g(x)=(x-6)/10

$f (x) = 10 x + 6$ , $g (x) = \frac{x - 6}{10}$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (\frac{x - 6}{10})$ by substituting in the value of $g$ into $f$ .

$f (\frac{x - 6}{10}) = 10 (\frac{x - 6}{10}) + 6$

Step 3

Cancel the common factor of $10$ .

Cancel the common factor.

$f (\frac{x - 6}{10}) = 10 (\frac{x - 6}{10}) + 6$

Rewrite the expression.

$f (\frac{x - 6}{10}) = x - 6 + 6$

Step 4

Combine the opposite terms in $x - 6 + 6$ .

Add $- 6$ and $6$ .

$f (\frac{x - 6}{10}) = x + 0$

Add $x$ and $0$ .

$f (\frac{x - 6}{10}) = x$