Question

Given: g(x) = 2x – 1 and h(x) = x2 - 2x + 8
7. Find (g- h)(x)
Show work

Answer 1

Answer: -x²+4x-9

Explanation:

(g-h)(x) is the same as g(x)-h(x). Since we were given g(x) and h(x), we can subtrac them.

2x-1-(x²-2x+8) [distribute -1]

2x-1-x²+2x-8 [combine like terms]

-x²+4x-9

Now, we know thhat (g-h)(x)=-x²+4x-9.