what is the answer

Question

f(x)=5x-3 g(x)=3x-3 

 

F(x)-G(x)

Answer 1

f(x)-g(x) = 5x-3 - (3x-3) = 2x

 

F(x) = \integral (5x-3)dx = 5x^2/2 - 3x +C_1

G(x) = \integral (3x-3)dx = 3x^2/2 - 3x +C_2

 

F(x)-G(x) = x^2 +C = \integral (f(x)-g(x))dx = \integral (2x)dx = x^2+C

 

 

Hope that helps!