Quiz about Ulangan Harian 2

Question 1

Jika $$f\left(x\right)=2x^2+5x-7\ dan\ g\left(x\right)=3x-12,\ maka\ nilai\ \left(gof\right)\left(2\right)=\ .\ .\ .\ .$$

Accepted Answer

21

Answer

19

Answer

27

Answer

31

Answer

35

Question 2

Dari fungsi $$f:\ R\rightarrow R$$ dan $$g:\ R\rightarrow R.$$ diketahui bahwa $$f\left(x\right)=x-7$$ dan $$\left(fog\right)\left(x\right)=\ x^2+12x+35$$ . Fungsi $$g\left(x\right)=\ .\ .\ .\ .$$

Accepted Answer

$$x^2+12x+28$$

Answer

$$x^2+12x+42$$

Answer

$$x^2+12x-42$$

Answer

$$x^2+12x-41$$

Answer

$$x^2-42+12$$

Question 3

Diketahui $$\left(fog\right)\left(x\right)=4x^2+8x-3$$ dan $$g\left(x\right)=2x+4$$ . Nilai $$f\left(-2\right)=\ .\ .\ .\ .$$

Accepted Answer

9

Answer

$$-15$$

Answer

$$-9$$

Answer

$$-7$$

Answer

1

Question 4

Dari fungsi $$f:R\rightarrow R$$ dan $$g:R\rightarrow R$$ . Diketahui bahwa $$g\left(x\right)=3x+1$$ dan $$\left(fog\right)\left(x\right)=x^2+3$$ maka $$f\left(2x-4\right)=\ .\ .\ .\ .$$

Accepted Answer

$$\frac{\left(2x-5\right)^2}{9}+3$$

Answer

$$\frac{2\left(2x-5\right)^2}{9}+3$$

Answer

$$\frac{\left(2x-5\right)^2}{6}+3$$

Answer

$$\frac{\left(x-1\right)^2}{6}+3$$

Answer

$$\frac{2\left(x-1\right)^2}{9}+3$$

Question 5

Diketahui f dan g yang dirumuskan oleh $$f\left(x\right)=3x^2-4x+6\ dan\ g\left(x\right)=2x-1.\ Jika\ nilai\ \left(fog\right)\left(x\right)=101.\ $$ Nilai x yang memenuhi adalah . . . .

Accepted Answer

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

Answer

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

Answer

$$\frac{3}{11}\ dan\ 2$$

Answer

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

Answer

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

Question 6

Diketahui $$h\left(x\right)=x^3-2x+1\ dan\ k\left(x\right)=x^2+3x$$ . Hitung nilai $$\left(koh\right)\left(1\right)=\ .\ .\ .\ .$$

Accepted Answer

5

Answer

11

Answer

9

Answer

7

Answer

3

Question 7

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

Accepted Answer

12

Answer

8

Answer

10

Answer

14

Answer

16

Question 8

Dari fungsi $$f:R\rightarrow R$$ dan $$g:R\rightarrow R$$ . Diketahui bahwa $$g\left(x\right)=x^2+2x$$ dan $$\left(fog\right)\left(x\right)=2x^2+8x+10$$ . Maka $$f\left(x+1\right)=\ .\ .\ .\ .$$

Accepted Answer

$$2x^2+6x+8$$

Answer

$$2x^2+8x+12$$

Answer

$$2x^2+4x+6$$

Answer

$$2x^2+10x+10$$

Answer

$$2x^2+8x+8$$

Question 9

Charles Richter mendefenisikan kekuatan gempa yang terjadi dengan rumus $$M=\log\left(\frac{I}{S}\right).$$ Dimana adalah kekuatan gempa (diukur dari amplitudo maksimum bacaan seismograf yang diambil 100 km dari pusat gempa) dan S adalah intensitas gempa standar (yang amplitudonya 1 mikron = $$10^{-4}$$ . Misalkan gempa pada daerah tertentu memiliki intensitas gempa yang besarnya $$I=3S+10^5$$ , sehingga rumusan perubahan menjadi $$M\left(S\right)=\log\frac{3S+10^5}{S}.$$ Dengan demikian rumus untuk $$M^{-1}\left(S\right)=.\ .\ .\ .$$

Accepted Answer

$$\frac{10^5}{10^S-3}$$

Answer

$$\left(10^S+3 ight) imes10^5$$

Answer

$$\left(10S-3 ight) imes10^5$$

Answer

$$\frac{3S+10^5}{S}$$

Answer

$$\frac{3+10^5}{10^S}$$

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