If f (x) = -x^2-8x+7, and g (x) = x-1, what does (g-f) (x) equal?

(g-f) (x) = -x^2-7x+6

(g-f) (x) = x^2+9x-8

(g-f) (x) = -x^2-9x+8

(g-f) (x) = -8x+8

(g-f) (x) = x^2 + 9x - 8

Step-by-step explanation:

To find the expression (g-f) (x) subtract the two expressions from each other by distributing a negative into the f (x) and combining like terms.

(g-f) (x) = x-1 - (-x^2 - 8x + 7)

(g-f) (x) = x - 1 + x^2 + 8x - 7

(g-f) (x) = x^2 + 9x - 8