Quiz about PH FUNGSI KOMPOSISI DAN INVERS

Question 1

Diketahui fungsi $$f\left(x\right)=\frac{x+3}{2x-5}$$ dan $$g\left(x\right)=3x+2$$ .

Tentukan $$\left(f\ o\ g\right)^{-1}\left(x\right)$$

Accepted Answer

$$\frac{x+5}{6x-3}$$

Answer

$$\frac{3x+5}{6x-1}$$

Answer

$$\frac{3x+5}{6x-3}$$

Answer

$$\frac{6x+5}{3x-1}$$

Answer

$$\frac{x+6}{5x-3}$$

Question 2

Jika $$f\left(x\right)=7x+1$$ dan $$g\left(x\right)=\frac{1}{2}x-5$$ , maka $$\left(f\ \circ\ g\right)^{-1}\left(x\right)$$ untuk $$x=-4$$ adalah ...

Accepted Answer

$$8\ \frac{4}{7}$$

Answer

22

Answer

18

Answer

50

Answer

$$11\ \frac{3}{7}$$

Question 3

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

Accepted Answer

$$\frac{7}{3}$$

Answer

$$\frac{5}{3}$$

Answer

$$\frac{1}{3}$$

Answer

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

Answer

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

Question 4

Diketahui $$f\left(x\right)=3x-1\ dan\ g\left(x\right)=2-x\ dan\ h\left(x\right)=2x+1.$$

Nilai $$\left(fogoh\right)^{-1}\left(x\right)=...$$

Accepted Answer

$$\frac{2-x}{6}$$

Answer

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

Answer

$$\frac{x+2}{6}$$

Answer

$$\frac{2+x}{6}$$

Answer

$$\frac{x-6}{2}$$

Question 5

Diketahui $$f\left(x\right)=3x-1\ dan\ g\left(x\right)=\frac{x+5}{x-3},\ nilai\ \left(gof\right)^{-1}\left(x\right)=...$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Answer

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

Question 6

Jika f(x) = 3x - 4 dan g(x) = 3 - 4x. Nilai $$\left(g\ o\ f\right)^{-1}$$ (4) adalah ...

Accepted Answer

$$-\frac{15}{12}$$

Answer

$$\frac{9}{12}$$

Answer

$$-\frac{17}{12}$$

Answer

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

Answer

$$\frac{1}{2}$$

Question 7

Jika f(x) = x² - 4, dan g(x) = x + 2 maka f(x) + g(x) adalah . . . .

Accepted Answer

x2 + x - 2

Answer

x2 + 2

Answer

x2 + x

Answer

x2 + x +2

Question 8

Jika f(x) = x² - 4, dan g(x) = x + 2 maka f(x) . g(x) adalah . . . .

Accepted Answer

x³+ 2x ²- 4x - 8

Answer

x³+ 2x ²+ 4x + 8

Answer

x³+ 2x ²- 4x + 8

Answer

x³ - 2x ²+ 4x + 8

Question 9

$$Jika\ f\left(x\right)=3x+4,\ dan\ g\left(x\right)=5-2x\ maka\ \left(\left(f\degree g\degree f\right)\left(x\right)\right)\ adalah\ ....$$

Accepted Answer

-18x - 5

Answer

-18x - 5x

Answer

-18x + 5x

Answer

18x + 5

Question 10

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

invers dari $$f\left(x\right)$$ adalah $$f^{-1}\left(x\right)=....$$

Accepted Answer

$$\frac{x+3}{2x-5}$$

Answer

$$\frac{-x+3}{2x+5}$$

Answer

$$\frac{5x-1}{2x+3}$$

Answer

$$\frac{2x+3}{5x-1}$$

Answer

$$\frac{5x-2}{3x+1}$$

Question 11

Fungsi f ditentukan oleh $$f\left(x ight)=\frac{2x+1}{x-3},\ x e3$$ jika $$f^{-1}$$ invers dari f, maka $$f^{-1}\left(x+1 ight)=$$ ...

Accepted Answer

$$\frac{3x+1}{x-2},\ x\ e2$$

Answer

$$\frac{3x-1}{x-2},\ x e2$$

Answer

$$\frac{3x+2}{x-1},\ x e1$$

Answer

$$\frac{3x+2}{x+1},\ x e-1$$

Answer

$$\frac{3x+4}{x-1},\ x e1$$

Question 12

Jika $$f\left(x\right)=x+2$$ dan $$g\left(x\right)=x^2,$$ maka nilai dari $$\left(gof\right)\left(3\right)=\ .\ .\ .\ .$$

Accepted Answer

$$25$$

Answer

$$5$$

Answer

$$9$$

Answer

$$11$$

Answer

$$14$$

Question 13

Jika $$g\left(x\right)=3x-4$$ dan $$\left(gof\right)\left(x\right)=-3x^2+6x-4,$$ maka $$f\left(x\right)=\ .\ .\ .\ .$$

Accepted Answer

$$2x-x^2$$

Answer

$$x^2-2x$$

Answer

$$x^2+2x$$

Answer

$$2x^2-x$$

Answer

$$2x^2+x$$

Question 14

Diketahui $$\left(fog\right)\left(x\right)=x^2-14x+53.\ $$ Untuk $$g\left(x\right)=x-6,\ maka\ f\left(-2\right)=\ .\ .\ .\ .$$

Accepted Answer

$$13$$

Answer

$$18$$

Answer

$$5$$

Answer

$$3$$

Answer

$$-2$$

Question 15

jika $$f\left(x\right)=2x^2+3x-4\ \ $$ , maka f(-2) = ....

Accepted Answer

-2

Answer

2

Answer

18

Answer

-18

Answer

6

Question 16

Diketahui rumus fungsi f (x) = 2x+5. Jika f (a) =11, nilai a adalah....

Accepted Answer

3

Answer

2

Answer

5

Answer

6

Answer

7

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