||
Membaca
SMUP 2010

Solusi SMUP 2010 Kode 041 – Nomor 20


Diketahui\ f(x)=\sqrt{x}\ dan\ g(x)=1-x^2\\ Daerah\ nilai\ fungsi\ komposisi\ g\circ f\ adalah\ ....
A.\quad  \big \{x\in \Re\ :\ x<1\big \}
B.\quad \big \{x\in \Re\ :\ x\le 1\big \}
C.\quad \big \{x\in \Re\ :\ x>1\big \}
D.\quad \big \{x\in \Re\ :\ x\ge 1\big \}
E.\quad Himpunan\ semua\ bilangan\ real\ \Re
Jawaban:

f(x)=\sqrt{x}\quad \rightarrow \quad x\ge 0\quad .....................\quad (*)
\begin{array}{rcl}y&=&(g\circ f)(x)\\\\&=&g\big[f(x)\big]\\\\&=&g\Big(\sqrt{x}\Big)\\\\&=&1-x\end{array}
Karena\ syarat\ (*),\ maka\ daerah\ nilai\ g\circ f\ adalah\\\big \{y\in \Re\ :\ y\le 1\big \}

About Kalakay

Guru Matematika SMK

Diskusi

Belum ada komentar.

Tinggalkan Balasan

Isikan data di bawah atau klik salah satu ikon untuk log in:

Logo WordPress.com

You are commenting using your WordPress.com account. Logout / Ubah )

Gambar Twitter

You are commenting using your Twitter account. Logout / Ubah )

Foto Facebook

You are commenting using your Facebook account. Logout / Ubah )

Foto Google+

You are commenting using your Google+ account. Logout / Ubah )

Connecting to %s

%d blogger menyukai ini: