Find f(g(x)) f(x)=4x-7 , g(x)=4-x

$f (x) = 4 x - 7$ , $g (x) = 4 - x$

Set up the composite result function.

$f (g (x))$

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

$f (4 - x) = 4 (4 - x) - 7$

Simplify each term.

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Apply the distributive property.

$f (4 - x) = 4 \cdot 4 + 4 (- x) - 7$

Multiply $4$ by $4$ .

$f (4 - x) = 16 + 4 (- x) - 7$

Multiply $- 1$ by $4$ .

$f (4 - x) = 16 - 4 x - 7$

Subtract $7$ from $16$ .

$f (4 - x) = - 4 x + 9$

Find f(g(x)) f(x)=4x-7 , g(x)=4-x

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