f(x) = 3x kuadrat + 4x +1 g(x) = 6x tentukan a. ( f o g ) (x) b. ( f o g) (2)

a. (fog)(x) = f(gx)
(fog)(x) = 3x^2+4x+1
(fog)(x) = 3(6x)^2+4(6x)+1
(fog)(x) = 108x^2+24x+1

b. (fog)(2) = 108x^2+24x+1
(fog)(2) = 108(2)^2+24(2)+1
(fog)(2) = 108×4 + 48 + 1
(fog)(2) = 432+49 = 481

semoga membantu yaa:)

[tex]f(x)=3x^2+4x+1 \\ g(x)=6x \\ \\ (f\circ g)(x)=f(g(x))=f(6x) \\ \\ f(6x)=3(6x)^2+4(6x)+1 \\ f(6x)=3(36x^2)+24x+1 \\ f(6x)=108x^2+24x+1 \\ \\ (f\circ g)(x)=108x^2+24x+1 \\ \\ (f\circ g)(2)=108(2)^2+24(2)+1 \\ (f\circ g)(2)=108(4)+48+1=481[/tex]