What is (f–g)(x)?f(x)=–4x+2g(x)=x2+x–2
Question
What is (f–g)(x)?f(x)=–4x+2g(x)=x2+x–2
Solution
The function (f-g)(x) is defined as f(x) - g(x).
Given that f(x) = -4x + 2 and g(x) = x^2 + x - 2, we can substitute these into our definition:
(f-g)(x) = (-4x + 2) - (x^2 + x - 2)
Now, distribute the negative sign to each term in the parentheses:
(f-g)(x) = -4x + 2 - x^2 - x + 2
Finally, combine like terms:
(f-g)(x) = -x^2 - 5x + 4
So, (f-g)(x) = -x^2 - 5x + 4.
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