What is (f–g)(x)?f(x)=2x+5g(x)=x2+xWrite your answer as a polynomial or a rational function in simplest form.
Question
What is (f–g)(x)?f(x)=2x+5g(x)=x2+xWrite your answer as a polynomial or a rational function in simplest form.
Solution
To find (f-g)(x), we subtract the function g(x) from f(x).
f(x) = 2x + 5 g(x) = x^2 + x
So, (f-g)(x) = f(x) - g(x) = (2x + 5) - (x^2 + x)
Simplify the expression by removing the parentheses and combining like terms:
= 2x + 5 - x^2 - x = -x^2 + x + 5
So, (f-g)(x) = -x^2 + x + 5.
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