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Kuis Fungsi Komposisi

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Uji pemahaman komposisi fungsi

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Indonesia

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Kuis Fungsi Komposisi
 

Kuis Fungsi KomposisiOnline version

Uji pemahaman komposisi fungsi

by Suryati Yati
1

Apa arti komposisi fungsi (f ∘ g)(x)?

2

Jika f(x)=2x+1 dan g(x)=x^2, tentukan (f ∘ g)(2).

3

Salah satu syarat komposisi f ∘ g adalah hasil g(x) berada pada domain f. Benar atau salah?

4

Diberi f(x)=x+3, g(x)=2x. Cari (f ∘ g)(1).

5

Manakah pernyataan yang benar tentang (f ∘ g)(x) vs (g ∘ f)(x)?

6

Jika f(x)=√x dan g(x)=x-1, domain (f ∘ g) adalah?

7

Dampak perubahan f terhadap (f ∘ g)(x) saat f diubah menjadi f̃(x)=ax+b?

8

Diberi f(x)=x^2, g(x)=x+1, tentukan (f ∘ g)(-2).

9

Komposisi f ∘ g dapat diterapkan jika domain g lebih besar dari domain f. Benar atau salah?

10

Misalkan f(x)=log(x), g(x)=x+1, domain (f ∘ g) adalah?

Feedback

f(g(x)) berarti g menghasilkan input untuk f.

g(2)=4, f(4)=9.

Domain komposisi adalah himpunan nilai x untuk mana g(x) dalam domain f.

g(1)=2, f(2)=5.

Urutan komposisi mempengaruhi hasil.

g(x)=x-1 harus ≥0 untuk sqrt.

f̃(g(x)) = a·g(x) + b.

g(-2)=-1, f(-1)=1.

Harus ada kecocokan domain: g(x) dalam domain f.

g(x)>0 diperlukan untuk log.

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