Find g(f(x)) f(x)=5x+6 ; g(x)=7x-8

$f (x) = 5 x + 6$ ; $g (x) = 7 x - 8$

Set up the composite result function.

$g (f (x))$

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

$g (5 x + 6) = 7 (5 x + 6) - 8$

Simplify each term.

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Apply the distributive property.

$g (5 x + 6) = 7 (5 x) + 7 \cdot 6 - 8$

Multiply $5$ by $7$ .

$g (5 x + 6) = 35 x + 7 \cdot 6 - 8$

Multiply $7$ by $6$ .

$g (5 x + 6) = 35 x + 42 - 8$

Subtract $8$ from $42$ .

$g (5 x + 6) = 35 x + 34$

Find g(f(x)) f(x)=5x+6 ; g(x)=7x-8

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