Answer:
x^2 - x + 18
Step-by-step explanation:
f(x) = x^2+9
g(x) = x-9
Therefore f(x)-g(x),
= x^2 + 9 - (x - 9)
= x^2 + 9 - x +9
The difference between the two functions is:
f(x) - g(x) = (f - g)(x) = x^2 - x + 18
Here we just want to find the difference between f(x) and g(x), where:
This is exactly the same thing as taking the difference between two polynomials, we will get:
f(x) - g(x) = (x^2 + 9) - (x - 9) = x^2 + 9 - x + 9 = x^2 - x + 18
So we conclude that the difference is:
f(x) - g(x) = (f - g)(x) = x^2 - x + 18
If you want to learn more about functions:
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