Question

Given that f(x) = 22 – 13x + 30 and g(x) = x - 3, find (f - g)(x) and

express the result in standard form.

Answer 1

(f - g)(x) = - 14x + 55

Explanation:

(f - g)(x)

= f(x) - g(x)

= 22 - 13x + 30 - ( x - 3) ← distribute parenthesis by - 1

= - 13x + 52 - x + 3 ← collect like terms

= - 14x + 55

Answer 2

`{ \tt{f(x) = 22 - 13x + 30}} \\ { \tt{g(x) = x - 3}} \\`

» Lets feed in the expression given:

`{ \tt{(f - g)x = \{22 - 13x + 30 \} - (x - 3)}} \\ { \tt{ = 55 - 14x}}`