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Invers Fungsi dan Komposisi Fungsi

Authored by I Kade Sukartayana

Mathematics

11th Grade

CCSS covered

Used 80+ times

Invers Fungsi dan Komposisi Fungsi
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Jika g(x)= x2−7g\left(x\right)=\ x^2-7  dan  (g ∘ f)(x)=4x2+16x+9, \left(g\ \circ\ f\right)\left(x\right)=4x^2+16x+9,\   fungsi  f(x)f\left(x\right)  adalah ...


 −3x+7-3x+7  

 −2x−2-2x-2  

 2x+42x+4  

 2x+82x+8  

 3x+113x+11  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.REI.B.4

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Jika g(x)=x2−2xg\left(x\right)=x^2-2x 

dan  (g ∘ f)(x)=x2−10x+24\left(g\ \circ\ f\right)\left(x\right)=x^2-10x+24  fungsi  f(x)f\left(x\right)  adalah ...

 6−x6-x  

 4−x4-x  

 x−6x-6  

 x−4x-4  

 x+4x+4  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.CED.A.1

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Diketahui g(x) = 3x+4 dan f(x) = 2x, nilai (f o g) (1) adalah ....

11

12

13

14

15

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Diketahui f (x) =  2x+73x−5 , x ≠53  , f−1(x)\frac{2x+7}{3x-5}\ ,\ x\ \ne\frac{5}{3}\ \ ,\ f^{-1}\left(x\right) adalah fungsi invers dari f(x),  f−1(x)f^{-1}\left(x\right)  adalah ....

 −5x + 73x + 2\frac{-5x\ +\ 7}{3x\ +\ 2}  

 −5x + 73x − 2\frac{-5x\ +\ 7}{3x\ -\ 2}  

 5x + 73x + 2\frac{5x\ +\ 7}{3x\ +\ 2}  

 5x − 73x − 2\frac{5x\ -\ 7}{3x\ -\ 2}  

 5x + 73x − 2\frac{5x\ +\ 7}{3x\ -\ 2}  

Tags

CCSS.HSF.BF.B.4

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 f (x) = 4x + 3f\ \left(x\right)\ =\ 4x\ +\ 3  dan  g (x) = x + 2g\ \left(x\right)\ =\ x\ +\ 2  ,  (f o g) −1 (x)\left(f\ o\ g\right)\ ^{-1}\ \left(x\right)  adalah invers dari fungsi  ( f o g )\left(\ f\ o\ g\ \right)  , maka  (f o g) −1 (x)\left(f\ o\ g\right)\ ^{-1}\ \left(x\right)  adalah ....

 x+114\frac{x+11}{4}  

 x−114\frac{x-11}{4}  

 −x−114\frac{-x-11}{4}  

 x−11−4\frac{x-11}{-4}  

 x+11−4\frac{x+11}{-4}  

Tags

CCSS.HSF.BF.B.4

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Jika f(x) = x – 3 dan g (x) = 3 – 2x, maka  (f ∘ g)−1=\left(f\ \circ\ g\right)^{-1}=   adalah 

 2x2x  

 3−12x3-\frac{1}{2}x  

 −12x-\frac{1}{2}x  

 −2x-2x  

 12x−3\frac{1}{2}x-3  

Tags

CCSS.HSF.BF.B.4

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Diketahui f(x)=6x-3, g(x)=5x+4 sehingga (fog)(x)=⋯

30x+20

30x+21

-30x+22

-30x+23

-30x+24

Tags

CCSS.HSF-BF.A.1C

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