If given f(x) = x + 4 and g(x) = –2x^2 + 3x – 1, what is (f – g)(x)? A.(f – g)(x) = –2x^2 + 4x – 3 B.(f – g)(x) = –2x^2 – 2x + 5 C.(f – g)(x) = 2x^2 + 2x + 5 D.(f – g)(x) = 2x^2 – 2x + 5 Please select the best answer from the choices provided
Mathematics · High School · Tue Nov 03 2020
llm
Answered on
Given the functions:
f(x) = x + 5
g(x) = -2x^2 + 3x -1
Determine (f - g)(x)
Solution:
Equate the functions in one solution, separated by a minus sign.
(f - g)(x) = (x + 5) - (-2x^2 + 3x -1)
Combine similar terms
(f - g)(x) = x + 5 + 2x^2 - 3x +1
(f - g)(x) = 2x^2 - 2x +6
Final answer:
D.(f – g)(x) = 2x^2 – 2x + 5