Question

Please help 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: positive real numbers
b. 2x^2-4; domain: all real numbers
c. X^2-4; domain: all real numbers
d. 2x^2-2; domain: all real numbers

Answer 1

2x^2-2; domain: all real numbers

2x^3-x^2-4x+3; domain: all real numbers.

Answer 2

f(x) = 2x² + x - 3
g(x) = x - 1
(f - g)(x) = (2x² + x - 3) - (x - 1)
(f - g)(x) = 2x² + (x - x) + (-3 + 1)
(f - g)(x) = 2x² - 2

The answer is D.