Quiz about Latihan Fungsi Invers

Question 1

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

Accepted Answer

-8

Answer

10

Answer

8

Answer

-10

Question 2

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

Accepted Answer

$$\frac{x+5}{3}$$

Answer

$$\frac{x-3}{5}$$

Answer

$$\frac{x+3}{5}$$

Answer

$$\frac{x-5}{3}$$

Answer

$$\frac{x\ -3}{-5}$$

Question 3

Invers dari $$f\left(x ight)=\frac{2-3x}{x+5};\ x e-5$$ adalah ....

Accepted Answer

$$f^{-1}\left(x ight)=\frac{2-5x}{x+3};\ x e-3$$

Answer

$$f^{-1}\left(x ight)=\frac{5x-2}{x+3};\ x e-3$$

Answer

$$f^{-1}\left(x ight)=\frac{5x-2}{x-3};\ x e3$$

Answer

$$f^{-1}\left(x ight)=\frac{2-5x}{x-3};\ x e3$$

Answer

$$f^{-1}\left(x ight)=\frac{5x+2}{x+3};\ x e-3$$

Question 4

Diketahui $$f\left(x ight)=\frac{x}{x-1}$$

untuk $$x e1$$ . Fungsi invers $$f\left(x ight)$$ adalah ...

Accepted Answer

$$\frac{x}{x-1}$$

Answer

$$\frac{x}{x+1}$$

Answer

$$\frac{x-1}{x}$$

Answer

$$\frac{1}{x-1}$$

Answer

$$\frac{1}{x+1}$$

Question 5

Fungsi F(x)= $$\frac{3x-6}{9-6x}$$ berapakah $$f^{-1}\left(-3\right)=....$$

Accepted Answer

$$\frac{7}{5}$$

Answer

$$\frac{4}{3}$$

Answer

$$-\frac{3}{4}$$

Answer

0

Answer

$$-\frac{5}{9}$$

Question 6

Berikut langkah-langkah menentukan invers fungsi dari

$$f\left(x\right)=2x+3$$ adalah .... $$y=2x+3$$ $$y-3=2x$$ $$\frac{y-3}{2}=x$$ Langkah selanjutnya ....

Accepted Answer

mengubah $$y=2x-3$$ menjadi $$f^{-1}\left(x\right)$$ undefined menjadi undefined

Answer

mengubah $$x$$ menjadi $$y$$

$$y$$ menjadi $$x$$

Answer

mengubah $$y=3x+2$$ menjadi $$null$$ $$null$$ menjadi $$f^{-1}\left(x\right)$$

Answer

mengubah $$y=3x-2$$ menjadi $$x$$ $$null$$ menjadi $$y$$

Question 7

Invers fungsi dari

$$f\left(x\right)=2x+3$$ adalah $$f^{-1}\left(x\right)=....$$

Accepted Answer

$$\frac{x-3}{2}$$

Answer

$$\frac{2x+3}{2}$$

Answer

$$\frac{2x-3}{2}$$

Answer

$$\frac{x+3}{2}$$

Question 8

Invers fungsi dari

$$f\left(x\right)=\frac{2x+5}{3x+1}$$ adalah ....

Accepted Answer

$$f^{-1}\left(x\right)=\frac{5-x}{3x-2}$$

Answer

$$f^{-1}\left(x\right)=\frac{2x-5}{3x-1}$$

Answer

$$f^{-1}\left(x\right)=\frac{5-2x}{1-3x}$$

Answer

$$f^{-1}\left(x\right)=\frac{x-5}{2-3x}$$

Question 9

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

Accepted Answer

$$\frac{5x-1}{4x-2}$$

Answer

$$\frac{5x+1}{2x-4}$$

Answer

$$\frac{4x-5}{2x-1}$$

Answer

$$\frac{x-5}{2x-4}$$

Answer

$$\frac{5x+1}{-2x+4}$$

Question 10

Jika f(x) = 4x+8 maka invers fungsi f adalah ...

Accepted Answer

$$\frac{x-8}{4}$$

Answer

x+4

Answer

$$\frac{x-4}{8}$$

Answer

x+8

Answer

$$\frac{x-8}{8}$$

Question 11

Jika f(x) = 3x-7 maka invers fungsi f adalah ...

Accepted Answer

$$\frac{x+7}{3}$$

Answer

$$\frac{x-7}{3}$$

Answer

x+7

Answer

x+3

Answer

$$\frac{x+3}{7}$$

Question 12

Diketahui $$f(x)=4-5x$$ , maka invers dari $$f\left(x\right)$$ adalah....

Accepted Answer

$$-\frac{(x-4)}{5}$$

Answer

$$5x-4$$

Answer

$$\frac{(x-4)}{5}$$

Answer

$$\frac{(x-5)}{4}$$

Answer

$$-\frac{(x-5)}{4}$$

Question 13

Jika f(x) = $$\frac{x+3}{2x}\ $$ maka $$f^{-1}$$ (x) = ...

Accepted Answer

$$\frac{3}{2x-1}$$

Answer

$$\frac{3}{2x+1}$$

Answer

$$\frac{1}{2x-3}$$

Answer

$$\frac{-2x+3}{x}$$

Answer

$$\frac{-2x+3}{x+3}$$

Question 14

Invers dari

$$g\left(x\right)\ =\ 10\ -2x$$ adalah $$g^{-1}\left(x\right)\ =\ ...$$

Accepted Answer

$$\frac{10\ -\ x}{2}$$

Answer

2x - 10

Answer

$$\frac{x\ +\ 10}{2}$$

Answer

$$\frac{10\ -\ x}{-2}$$

Answer

$$\frac{2\ -\ x}{10}$$

Question 15

$$Invers\ dari\ fungsi\ f\left(x\right)\ =\ \frac{2x\ +\ 11}{3}\ adalah\ f^{-1}\left(x\right)\ =\ ...$$

Accepted Answer

$$\frac{3x\ -11}{2}$$

Answer

$$\frac{11x\ -\ 2}{3}$$

Answer

$$\frac{11x\ +\ 2}{3}$$

Answer

$$\frac{3x\ +\ 11}{2}$$

Answer

$$\frac{2x\ -\ 3}{11}$$

Question 16

Invers dari $$f\left(x ight)=\frac{2-3x}{x+5};\ x e-5$$ adalah ....

Accepted Answer

$$f^{-1}\left(x ight)=\frac{2-5x}{x+3};\ x e-3$$

Answer

$$f^{-1}\left(x ight)=\frac{5x-2}{x+3};\ x e-3$$

Answer

$$f^{-1}\left(x ight)=\frac{5x-2}{x-3};\ x e3$$

Answer

$$f^{-1}\left(x ight)=\frac{2-5x}{x-3};\ x e3$$

Answer

$$f^{-1}\left(x ight)=\frac{5x+2}{x+3};\ x e-3$$

Question 17

Jika f(x) = 5 - 4x maka $$f^{-1}\left(x\right)$$ = ...

Accepted Answer

$$-\frac{1}{4}x+\frac{5}{4}$$

Answer

$$\frac{1}{4}x\ -\ \frac{5}{4}$$

Answer

$$\frac{1}{4}x+\frac{5}{4}$$

Answer

$$-\frac{1}{4}x-\frac{5}{4}$$

Answer

20 - x

Question 18

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

Accepted Answer

$$\frac{5x-1}{4x-2}$$

Answer

$$\frac{5x+1}{2x-4}$$

Answer

$$\frac{4x-5}{2x-1}$$

Answer

$$\frac{x-5}{2x-4}$$

Question 19

Invers dari

$$g\left(x\right)\ =\ 10\ -2x$$ adalah $$g^{-1}\left(x\right)\ =\ ...$$

Accepted Answer

$$\frac{10\ -\ x}{2}$$

Answer

2x - 10

Answer

$$\frac{x\ +\ 10}{2}$$

Answer

$$\frac{10\ -\ x}{-2}$$

Answer

$$\frac{2\ -\ x}{10}$$

Question 20

Invers dari fungsi f adalah f -1. Jika diketahui $$f\left(x ight)\ =\ \frac{4x}{2x\ -\ 3},\ x\ e\frac{3}{2}$$ maka nilai $$f^{-1}\left(4 ight)=\ ...$$

Accepted Answer

3

Answer

2

Answer

4

Answer

6

Answer

8

Question 21

diketahui $$f\left(x\right)=3x-2$$ , maka nilai dari $$f^{-1}\left(1\right)=.....$$

Accepted Answer

$$1$$

Answer

$$-1$$

Answer

$$-\frac{2}{3}$$

Answer

$$0$$

Answer

$$\frac{2}{3}$$

Question 22

$$f\left(x\right)\ =\frac{2x-1}{3x+4},\ maka\ f^{-1}\left(x\right)\ adalah$$

Accepted Answer

$$\frac{4x+1}{2-3x}$$

Answer

$$\frac{4x-1}{2+3x}$$

Answer

$$\frac{4x-1}{2-3x}$$

Answer

$$\frac{4x+1}{2+3x}$$

Question 23

$$f\left(x\right)\ =\frac{3x+7}{x-5},\ maka\ f^{-1}\left(x\right)\ adalah$$

Accepted Answer

$$\frac{5x+7}{x-3}$$

Answer

$$\frac{5x+7}{x+3}$$

Answer

$$\frac{x-3}{5x+7}$$

Answer

$$\frac{x+3}{5x-7}$$

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