What is (f–g)(x)?f(x)=3x+4g(x)=–2xWrite your answer as a polynomial or a rational function in simplest form.
Question
What is (f–g)(x)?f(x)=3x+4g(x)=–2xWrite 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) = 3x + 4 g(x) = -2x
So, (f-g)(x) = f(x) - g(x) = (3x + 4) - (-2x)
When we subtract a negative, it becomes addition. So,
(f-g)(x) = 3x + 4 + 2x = 5x + 4
So, (f-g)(x) = 5x + 4 is the polynomial in simplest form.
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