Pembahasan Soal Komposisi Fungsi pada Soal UN - update-materi

Random Posts

ads

Hot

Post Top Ad

Your Ad Spot

Thursday, April 2, 2015

Pembahasan Soal Komposisi Fungsi pada Soal UN


Pembahasan Soal Komposisi FUngsi yang sering keluar pada Soal UN.

Soal 1 - UN Matematika 2012

Diketahui fungsi f(x) = 3x − 1 dan g(x)=2x2-3. Komposisi fungsi (g o f )(x) = ....
A. 9x2-3x+1
B. 9x2-6x+3
C. 9x2-6x+6
D. 18 x2-12x-2
E. 18x2-12x-1

Penyelesaian:
f(x) = 3x − 1 dan g(x)=2x2-3
(g o f )(x) = g( f(x) )
= g(3x - 1)
= 2(3x - 1)2 - 3
= 2(9x2 - 6x + 1) - 3
= 18x2 - 12x - 1



Soal 1 - UN Matematika 2012

Diketahui fungsi f(x) = x + 3 dan g(x) = x2-2x-1. Komposisi fungsi (fog)(x) = ....
A. x2-2x+2
B. x2+2x-2
C. x2+4x+2
D. x2-4x+2
E. x2-4x-2

Penyelesaian:
f(x) = x + 3 dan g(x) = x2-2x-1
= f( g(x) )
= f(x2-2x-1)
= x2-2x-1 + 3
= x2-2x+2




Soal 1 - UN Matematika 2012

Diketahui fungsi f(x) = 2x + 1 dan g(x) = x2-2x+8. Komposisi fungsi (gof)(x) = ....
A. 4x2+7
B. (4x)2-7
C. (2x)2+4x-17
D. 2x2-4x+17
E. 2x2-4x-17

Penyelesaian:
f(x) = 2x + 1 dan g(x) = x2-2x+8
(g o f )(x) = g( f(x) )
= g(2x + 1)
= (2x + 1)2 - 2(2x + 1) + 8
= (4x2 + 4x + 1) - 4x - 2 + 8
= 4x2 + 7




Kumpulan Soal UN SMA 2012.


1 comment:

  1. Review of the best casino site, slots, blackjack, roulette
    This is a well-known bookmaker who has a license to luckyclub provide sports betting to its clients. Many players will appreciate the betting site as it offers

    ReplyDelete

Post Top Ad

Your Ad Spot