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 a

Explanation:

Answer 2

`2x^2-3x+1`

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`