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Ulangan Harian 2_Fungsi Komposisi dan Fungsi Invers

Authored by Siti Nurlaelawati

Mathematics

11th Grade

Used 10+ times

Ulangan Harian 2_Fungsi Komposisi dan Fungsi Invers
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10 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Fungsi f dinyatakan oleh f(x) = 3x-5. Jika  f1f^{-1}  invers fungsi f, invers f(x) adalah ...

 x35\frac{x-3}{5}  

 x+35\frac{x+3}{5}  

 x53\frac{x-5}{3}  

 x+53\frac{x+5}{3}  

2.

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  

 312x3-\frac{1}{2}x  

 12x-\frac{1}{2}x  

 2x-2x  

 12x3\frac{1}{2}x-3  

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Diketahui fungsi f(x) = x + 10, maka f-1(2) adalah...

10

8

-8

-10

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Diketahui fungsi f dengan rumus f(x) = 2x – 3 dan f-1 adalah fungsi invers dari f. Nilai dari f-1 (-1)=…

-2

-1

1

2

3

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Bila  f(x)=2x14x5f\left(x\right)=\frac{2x-1}{4x-5}  , maka  f1(x)f^{-1}\left(x\right)  adalah . . .

 5x+12x4\frac{5x+1}{2x-4}  

 4x52x1\frac{4x-5}{2x-1}  

 x52x4\frac{x-5}{2x-4}  

 5x14x2\frac{5x-1}{4x-2}  

 5x+12x+4\frac{5x+1}{-2x+4}  

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

7.

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}  

 x114\frac{x-11}{4}  

 x114\frac{-x-11}{4}  

 x114\frac{x-11}{-4}  

 x+114\frac{x+11}{-4}  

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