29) g(x)=x - 3\n h(x)=3x - 5\n find g(h(-4x))

29) g(x)=x - 3\n h(x)=3x - 5\n find g(h(-4x))

29) g(x)=x - 3\n h(x)=3x - 5\n find g(h(-4x))

Answer

Explanation:

Step1: Find $h(-4x)$

Substitute $x = - 4x$ into $h(x)=3x - 5$. $h(-4x)=3(-4x)-5=-12x - 5$

Step2: Find $g(h(-4x))$

Substitute $x=-12x - 5$ into $g(x)=x - 3$. $g(h(-4x))=(-12x - 5)-3=-12x-8$

Answer:

$-12x - 8$