Question

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

Answer 1

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

Answer 2

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

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`