Question

Diketahui f(x)=3x²+4x+1
g(x)=6x
tentukan a. (fog) (x)
b. (gof) (x)

Answer 1

Verified answer

F (x) = 3x^2 +4x +1 dan g(x) = 6x
a) fog(x) = f { g(x) }
= f (6x)
= 3(6x)^2 +4(6x) +1
= 108x^2 + 24x + 1
b) gof (x) = g { f (x) }
= g ( 3x^2 +4x +1)
= 6 (3x^2 +4x +1)
= 18x^2 + 24x +6