Find f(g(x)) f(x)=4x-6 , g(x)=(x+6)/4

$f (x) = 4 x - 6$ , $g (x) = \frac{x + 6}{4}$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (\frac{x + 6}{4})$ by substituting in the value of $g$ into $f$ .

$f (\frac{x + 6}{4}) = 4 (\frac{x + 6}{4}) - 6$

Step 3

Cancel the common factor of $4$ .

Cancel the common factor.

$f (\frac{x + 6}{4}) = 4 (\frac{x + 6}{4}) - 6$

Rewrite the expression.

$f (\frac{x + 6}{4}) = x + 6 - 6$

Step 4

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

Subtract $6$ from $6$ .

$f (\frac{x + 6}{4}) = x + 0$

Add $x$ and $0$ .

$f (\frac{x + 6}{4}) = x$