
FUNGSI KOMPOSISI
Presentation
•
Mathematics
•
11th Grade
•
Easy
ACHMAD MUJAHID
Used 7+ times
FREE Resource
16 Slides • 10 Questions
1
BY ACHMAD MUJAHID
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Setelah mempelajari materi fungsi komposisi, siswa diharapkan dapat:
Memahami konsep fungsi komposisi.
Menentukan fungsi komposisi dari dua fungsi atau lebih.
Menyelesaikan masalah yang berkaitan dengan fungsi komposisi.
Menggunakan fungsi komposisi untuk memodelkan dan menyelesaikan masalah dalam konteks dunia nyata.
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Komposisi Fungsi
Penggabungan operasi dua fungsi secara berurutan akan menghasilkan sebuah fungsi baru.
Penggabungan tersebut disebut komposisi fungsi dan hasilnya disebut fungsi komposisi.
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Multiple Choice
Diketahui f(x)=6x-3, g(x)=5x+4 sehingga (fog)(x)=⋯
30x+20
30x+21
-30x+22
-30x+23
-30x+24
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Multiple Choice
Jika f(x) = 2x²+4 dan g(x) = 4x+2 maka (g o f)(x) = . . .
2x²+8x+3
4x²+16x+8
x²+4x+2
16x²+18
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Multiple Choice
Jika g(x)= x2−7 dan (g ∘ f)(x)=4x2+16x+9, fungsi f(x) adalah ...
−3x+7
−2x−2
2x+4
2x+8
3x+11
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Multiple Choice
g(x)=3−2x dan (g o f)(x)=2x2+2x−12, rumus fungsi f(x) adalah ...
A. x2+x+7,5
B. −x2−x−7,5
C. −x2+x+7,5
D. −x2−x+7,5
E. x2−x+7,5
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Multiple Choice
Jika f(x)=x2-3x+2 dan g(x)=4x+1, maka (gof)(x)=⋯
4x2-3x+3
.4x2-3x+8
4x2-4x+6
4x2-12x+8
4x2-12x+9
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Multiple Choice
Jika f(x) = 3x + 4 dan g(x) = 6 - 2x, maka nilai dari (fog)(3) adalah ….
-20
-8
4
-10
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Multiple Choice
Jika g(x)=x2−2x
dan (g ∘ f)(x)=x2−10x+24 fungsi f(x) adalah ...
6−x
4−x
x−6
x−4
x+4
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Multiple Choice
Jika f(x) = 2x + 1 dan g(x) = 3x2 + 4, maka (fog)(x) adalah ….
6x2 + 9
6x2 + 4
3x2 + 9
9x2 + 4
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Multiple Choice
Jika g(x)= x2−7 dan (g ∘ f)(x)=4x2+16x+9, fungsi f(x) adalah ...
−3x+7
−2x−2
2x+4
2x+8
3x+11
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Multiple Choice
Diketahui f(x)=2x2−15 , g(x) = 3x , dan h(x)=2x+3 . Berapakah hasil komposisi fogoh(x) ?
72x2−216x+162
36x2+108x+81
36x2+108x+76
72x2+216x+147
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BY ACHMAD MUJAHID
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