Let f (x) = x + 3 and g (x) = x^2 - x. Find and simplify the expression.

(f+g) (-3) =

12

Step-by-step explanation:

f (x) = x+3

g (x) = x^2-x

[f (x) + g (x) ]=[x+3]+[x^2-x]

[f (x) + g (x) ]=x+3 + (x^2) - x

x and - x will be cancelled; hence

[f (x) + g (x) ]=x^2+3

f (x) + g (x) = (f+g) (X)

(f+g) (x) = x^2+3

(f+g) (-3) = (-3^2) + 3

(f+g) (-3) = 9+3

(f+g) (-3) = 12