What is (f–g)(x)?f(x)=–5xg(x)=2x+2Write your answer as a polynomial or a rational function in simplest form.
Question
Solution 1
To find (f-g)(x), we need to subtract the function g(x) from f(x).
Given: f(x) = -5x g(x) = 2x + 2
(f-g)(x) = f(x) - g(x)
Substitute the given functions into the equation:
(f-g)(x) = -5x - (2x + 2)
Distribute the negative sign:
(f-g)(x) = -5x - 2x - 2
Combine like terms:
(f-g)(x) = -7x - 2
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