(f-g)(x) = [tex]x^{2}[/tex] + 2x + 8
Step-by-step explanation:
Step 1:
Formula for (f-g) (x) = f(x) - g(x)
Step 2:
Substitute values of f(x) and g(x) in the formula and solve
(f-g)(x) = (2x + 1) - ([tex]x^{2} -7[/tex])
(f-g)(x) = 2x + 1 - [tex]x^{2}[/tex] + 7
= 2x + 8 [tex]- x^{2}[/tex]
= [tex]x^{2}[/tex] + 2x + 8