Question

If f(x)=−x2−8x+7 and g(x)=x−1, what does (g−f)(x) equal?

Answer 1

The difference between the two functions is:

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

How to find the difference between the functions?

Here we have:

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

And we want to find (f - g)(x), which is equal to f(x) - g(x), then we can write:

$(f - g)(x) = (-x^2 - 8x + 7) - (x - 1) = -x^2 -8x + 7 - x + 1 = -x^2 - 9x + 8$

So we conclude that the difference between the two functions is:

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

If you want to learn more about functions:

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