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Answer: -x²+4x-9

Step-by-step 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.