Respuesta :

Answer:

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

Step-by-step explanation:

Given :

  • f(x) = 2x² + 2
  • g(x) = x² - 1

Now, this problem can be used using a simple formula.

[tex]\fbox {(f - g)(x) = f(x) - g(x)}[/tex]

Let's solve.

  • (f - g)(x) = 2x² + 2 - (x² - 1)
  • (f - g)(x) = 2x² - x² + 2 + 1
  • (f - g)(x) = x² + 3

∴ The answer will be x² + 3.