Respuesta :

Answer: OPTION C

Step-by-step explanation:

To solve the exercise shown in the image attached, you need to subtract the functions f(x) and g(x).

Keeping the above on mind, you have:

[tex](f-g)(x)=2x^{2}+2-(x^{2}-1)[/tex]

You must distribute the negative sign and then you must add the like terms, therefore, you obtain:

[tex](f-g)(x)=2x^{2}+2-x^{2}+1\\(f-g)(x)=x^{2} +3[/tex]

Answer:

Choice c is correct.

Step-by-step explanation:

We have  given two functions:

f(x)  = (2x²+ 2)

g(x) = (x²-1)

We have to find (f-g)(x).

(f-g)(x) = ( 2x²+ 2) - ( x²-1)

(f-g)(x) = 2x² + 2 - x²+1

(f-g)(x) = x²+3 is the correct answer.