Given the functions, f(x) = 5x2 - 3x + 1 and g(x) = 2x2 + x - 2, perform the indicated operation. When applicable, state the domain restriction.(f - g)(x)
Question
Solution 1
To perform the operation (f - g)(x), we need to subtract the function g(x) from f(x).
f(x) = 5x^2 - 3x + 1 g(x) = 2x^2 + x - 2
Subtract g(x) from f(x):
(f - g)(x) = (5x^2 - 3x + 1) - (2x^2 + x - 2)
Distribute the negative sign to each term in the parentheses:
(f - g)(x) = 5x^2 - 3x + 1 - 2x^2 Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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