Answer to Question #331442 in Discrete Mathematics for Ren

Question

Find f ◦ g and g ◦ f , where f (x) = 3x - 2 and g(x) = 2x + 2, are functions from R to R

Answer 1

$(f\circ g)(x)=f(g(x))=\\ 3g(x)-2=3(2x+2)-2=6x+4$

$(g\circ f)(x)=g(f(x))=\\ =2f(x)+2=2(3x-2)+2=6x-2$