If f (x) = 5^x2 - 3 and g (x) = x2 - 4x - 8, find (f - g) (x).

4x² + 4x + 5

Step-by-step explanation:

Note that (f - g) (x) = f (x) - g (x), thus

f (x) - g (x)

= 5x² - 3 - (x² - 4x - 8) ← distribute parenthesis by - 1

= 5x² - 3 - x² + 4x + 8 ← collect like terms

= 4x² + 4x + 5