Answer:
[tex]2x^2-3x+1[/tex]
Step-by-step explanation:
Complete Question:
Given the functions, [tex]f(x)=2x^2+2[/tex] and [tex]g(x)=3x+1[/tex], perform the indicated operation. When applicable, state the domain restriction.
(f-g)(x)
(f-g)(x) basically means subtract the function g from the function f and put "x" into "x". Since there are no values in place of "x", just "x" itself, we simply subtract function g from function f and that's it.
Doing algebra, we have:
[tex]f(x)=2x^2+2\\g(x)=3x+1\\(f-g)(x)=2x^2+2-(3x+1)=2x^2+2-3x-1=2x^2-3x+1[/tex]
The first answer choice is right, [tex]2x^2-3x+1[/tex]
