Question

Given the functions, f ( x ) = x2 + x - 5 and g ( x ) = 4 x2 - 2 x + 1, perform the indicated operation. When applicable, state the domain restriction. ( f - g )( x )

Answer 1

(f-g)(x) = - 3 x² + 3 x -6

Explanation:

Explanation:-

Given function f(x) = x² + x - 5

g(x) = 4 x² - 2 x + 1

(f-g)(x) = f(x) - g(x)

= x² + x - 5 - (4 x² - 2 x + 1)

= x² - 4 x² + x + 2 x - 5 -1

= - 3 x² + 3 x -6

(f-g)(x) = - 3 x² + 3 x -6