Question

F(x)=x-2,g(x)=x^2,h(x)=2x+1, tentukan (hogof)(2)=
tolong penjabarannya

Answer 1

Verified answer

(h○g○f)(2) ....??

cari dulu (g○f)(x)

f(x) = x - 2
g(x) = x^2
h(x) = 2x + 1

(g○f)(x) = (x-2)^2
= (x-2)(x-2)
= x^2 - 4x + 4

,,,

(h○g○f)(x)
= 2 (x^2 - 4x + 4) + 1
= 2x^2 - 8x + 8 + 1
= 2x^2 - 8x + 9

maka
(h○g○f)(2)
= 2(2)^2 - 8(2) + 9
= 8 - 16 + 9
= -8 + 9
= 1 <<==== finish