Find f(g(x)) f(x)=4x+8 , g(x)=8-x

$f (x) = 4 x + 8$ , $g (x) = 8 - x$

Set up the composite result function.

$f (g (x))$

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

$f (8 - x) = 4 (8 - x) + 8$

Simplify each term.

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Apply the distributive property.

$f (8 - x) = 4 \cdot 8 + 4 (- x) + 8$

Multiply $4$ by $8$ .

$f (8 - x) = 32 + 4 (- x) + 8$

Multiply $- 1$ by $4$ .

$f (8 - x) = 32 - 4 x + 8$

Add $32$ and $8$ .

$f (8 - x) = - 4 x + 40$

Find f(g(x)) f(x)=4x+8 , g(x)=8-x

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