In Exercises 1 to 12, use the given functions f and g to find f g f g, fg, and fg. State the domain of each. f(x) = 5x - 15, g(x) = x - 3

Topics C overed: Fundamental Theorem of Calculus(FTOC), Indefinite I ntegral, and Substitution R ule ● Fundamental Theorem of Calculus: ○ Definition: If f is continuous on the closed interval [a,b] and F(antiderivative of f) is the indefinite integral of [a,b] ,then ∫ from a→b (f(x))dx) = F(b)-F(a). ○ Examples:Evaluate the i ntegral: ∫ from 3→1 x*dx) ■ F(x)=x^2/2 then plug in the closed intervals which are [1,3] and subtract. =((3 /2)-((1 )/2)