Let f (x) = 3x2 + x - 3 and g (x) = x2 - 5x + 1. Find f (x) - g (x).

Substitute the two functions according to a given condition of function:

f (x) - g (x) = 3x² + x - 3 - (x ² - 5x + 1)

= 3x ² + x - 3 - x ² + 5x - 1

= 2x ² + 6x - 4 or 2 (x ² + 3x - 2)

F (x) - g (x) = 3x² + x - 3 - (x² - 5x + 1)

f (x) - g (x) = 3x² + x - 3 - x² + 5x - 1

f (x) - g (x) = 3x² - x² + x + 5x - 3 - 1

f (x) - g (x) = 2x² + 6x - 4