Question

Given the functions, f(x) = 2x 2 + 2 and g(x) = 3x + 1, perform the indicated operation. When applicable, state the domain restriction.
2x2 - 3x + 1
2x2 - 3x + 3
5x3 + 2x2 + 2
6x3 + 6x + 3

Answer 1

Answer:

$2x^2-3x+1$

Step-by-step explanation:

Complete Question:

Given the functions, $f(x)=2x^2+2$  and  $g(x)=3x+1$, 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:

$f(x)=2x^2+2\\g(x)=3x+1\\(f-g)(x)=2x^2+2-(3x+1)=2x^2+2-3x-1=2x^2-3x+1$

The first answer choice is right, $2x^2-3x+1$