Find g(f(x)) f(x)=4x-7 , g(x)=2x-5

$f (x) = 4 x - 7$ , $g (x) = 2 x - 5$

Set up the composite result function.

$g (f (x))$

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

$g (4 x - 7) = 2 (4 x - 7) - 5$

Simplify each term.

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Apply the distributive property.

$g (4 x - 7) = 2 (4 x) + 2 \cdot - 7 - 5$

Multiply $4$ by $2$ .

$g (4 x - 7) = 8 x + 2 \cdot - 7 - 5$

Multiply $2$ by $- 7$ .

$g (4 x - 7) = 8 x - 14 - 5$

Subtract $5$ from $- 14$ .

$g (4 x - 7) = 8 x - 19$

Find g(f(x)) f(x)=4x-7 , g(x)=2x-5

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