Jika f(x-3)=3X-10 dan g (x)=2x^2 maka nilai (gof)(x)=

Posted on

Jika f(x-3)=3X-10 dan g (x)=2x^2 maka nilai (gof)(x)=

Jawaban Terkonfirmasi

Misalkan x-3 = a maka x = a+3
f(a) = 3(a+3) – 10
f(a)= 3a + 9  – 10
f(a) = 3a – 1
f(x) = 3x – 1

(gof)(x) = g(f(x)
(gof)(x)= g(3x-1)
(gof)(x) = 2(3x-1)²
(gof)(x)=2(9x²-6x+1)
(gof)(x)=18x²-12x+2