Question

Perform the indicated operation. h(x) = 3x - 1 g(x) = 2x – 4 Find (hog)(x)

Answer 1

Answer:

$\large\boxed{(h\circ g)(x)=6x-16}$

Step-by-step explanation:

$h(x)=3x-1\\\\g(x)=2x-4\\\\(h\circ g)(x)=h\bigg(g(x)\bigg)\\\\\text{Substitute instead of x the expression (2x - 4) to h (x):}\\\\(h\circ g)(x)=3(2x-4)-4\qquad\text{use the distributive property}\\\\(h\circ g)(x)=(3)(2x)+(3)(-4)-4\\\\(h\circ g)(x)=6x-12-4\\\\(h\circ g)(x)=6x-16$

Answer 2

h(g(x)
h(2x-4)
3(2x-4)-1
6x-12-1
6x-13=(hog)(x)