If f(x) = 3x + 2 and g(x) = 2x – 2, what is (f – g)(x)? A. x + 4 B. x – 2 C. x D. 5x – 2 E. x – 4
Accepted Solution
A:
Answer: Option AStep-by-step explanation: Given the functions f(x) and g(x): [tex]f(x) = 3x + 2[/tex] [tex]g(x)=2x-2[/tex] [tex](f-g)(x)[/tex] indicates that you need to subtract the function [tex]f(x) = 3x + 2[/tex] and the function [tex]g(x)=2x-2[/tex]. Then: [tex](f-g)(x)=3x + 2-(2x-2)[/tex] Now, you need to dstribute the negative sign and then you have to add like terms. Then: [tex](f-g)(x)=3x + 2-2x+2\\\\(f-g)(x)=x+4[/tex] You can observe that this answer matches with the option A.