Let f(x) = 2x^2+x-3 and g(x) =x-1. Perform the indicated operation, then find the domain. (F-g)(x)A) x^2-4;domain: all positive real numbersB) 2x^2-4; domain: all real numbersC) x^2; domain: all real numbersD) 2x^2-2; domain: all real numbers
Accepted Solution
A:
Answer:The answer is (D) ⇒ 2x² - 2 ; domain: all real numbersStep-by-step explanation:∵ f(x) = 2x² + x - 3∵ g(x) = x - 1∴ (f - g)(x) = 2x² + x - 3 - (x - 1) = 2x² + x - 3 - x + 1 = 2x² - 2∵ There is no value of x make the function undefined∴ The domain is all real numbers