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Kalkulus : Uji Pemahaman (Fungsi-1 : Pert. 4)

Total questions: 8

Worksheet time: 2hrs 0mins

Name
Class
Date
1.

Diberikan P={2,3,5,6}, Q={2,3,4,5,6,7,8,9,10} dan R relasi yang didefinisikan : nilai p 2 kurangnya dari nilai q dengan 

 R={(p,q) dengan pP, qQ}R=\left\{\left(p,q\right)\ dengan\ p\in P,\ q\in Q\right\}  Maka relasi yang diperoleh adalah ...

a)

 R={(2,4),(3,6),(5,7),(6,8)}R=\left\{(2,4),(3,6),(5,7),(6,8)\right\}  

b)

 R={(2,4),(3,6),(3,9),(5,10)}R=\left\{(2,4),(3,6),(3,9),(5,10)\right\}  

c)

 R={(2,4),(3,5),(5,10),(6,8)}R=\left\{(2,4),(3,5),(5,10),(6,8)\right\}  

d)

 R={(2,4),(3,5),(5,7),(6,8)}R=\left\{(2,4),(3,5),(5,7),(6,8)\right\}  

e)

 R={(2,4),(3,5),(5,7),(6,12}R=\left\{(2,4),(3,5),(5,7),(6,12\right\}  

2.

Jika

 f(x)=2x+3x2,f\left(x\right)=\frac{2x+3}{-x^2},  maka nilai f(-3) adalah ...

a)

 13-\frac{1}{3}  

b)

 13\frac{1}{3}  

c)

 12-\frac{1}{2}  

d)

 12\frac{1}{2}  

e)

 23\frac{2}{3}  

3.

 f(x)=x1f\left(x\right)=\sqrt{x}-1  Nilai  Df  dan RfD_{f\ }\ dan\ R_f  agar fungsi f terdefinisi adalah ...

a)

 Df={x{1x}} D_f=\left\{x\left|\left\{1\le x\le\infty\right\}\right|\right\}\   dan  Rf={x{1x}}R_f=\left\{x\left|\left\{-1\le x\le\infty\right\}\right|\right\}  

b)

 Df={x{1x}}D_f=\left\{x\left|\left\{-1\le x\le\infty\right\}\right|\right\}  dan  Rf={x{0x}}R_f=\left\{x\left|\left\{0\le x\le\infty\right\}\right|\right\}  

c)

 Df={x{0x}}D_f=\left\{x\left|\left\{0\le x\le\infty\right\}\right|\right\}  dan  Rf={x0x}R_f=\left\{x\left|0\le x\le\infty\right|\right\}  

d)

 Df={x{0x}}D_f=\left\{x\left|\left\{0\le x\le\infty\right\}\right|\right\}  dan  Rf={x{1x}}R_f=\left\{x\left|\left\{-1\le x\le\infty\right\}\right|\right\}  

e)

 Df={x{1x}}D_f=\left\{x\left|\left\{-1\le x\le\infty\right\}\right|\right\}  dan  Rf={x{1x}}R_f=\left\{x\left|\left\{1\le x\le\infty\right\}\right|\right\}  

4.

 g(x)=3x+132x, g1(x) ...g\left(x\right)=\frac{3x+1}{3-2x},\ g^{-1}\left(x\right)\ ...  (Gunakan RUMUS CEPAT INVERS)

a)

 g1(x)=3x12x3g^{-1}\left(x\right)=\frac{3x-1}{-2x-3}  

b)

 g1(x)=3x+12x3g^{-1}\left(x\right)=\frac{3x+1}{2x-3}  

c)

 g1(x)=3x+12x+3g^{-1}\left(x\right)=\frac{3x+1}{2x+3}  

d)

 g1(x)=3x+12x+3g^{-1}\left(x\right)=\frac{-3x+1}{2x+3}  

e)

 g1(x)=3x12x+3g^{-1}\left(x\right)=\frac{3x-1}{2x+3}  

5.

 f1(1)f^{-1}\left(1\right) jika  f(x)=x2+3 ...f\left(x\right)=-x^2+3\ ...   


a)

-2

b)

-1

c)

0

d)

1

e)

2

6.

 f(x)=2x27, g(x)=32x. f\left(x\right)=2x^2-7,\ g\left(x\right)=3-2x.\   Nilai  (fg)(x) ...\left(f-g\right)\left(x\right)\ ...  

a)

 x2x+5x^2-x+5  

b)

 x2+2x+5x^2+2x+5  

c)

 x2x5x^2-x-5  

d)

 x2+x5x^2+x-5  

e)

 x2+2x5x^2+2x-5  

7.

 f(x)=23x5, g(x)=3x+10. (gof)(x)...f\left(x\right)=\frac{2}{3}x-5,\ g\left(x\right)=-3x+10.\ \left(gof\right)\left(x\right)...  

a)

 5x5-x  

b)

 6+x6+x  

c)

 5+x5+x  

d)

 4x4-x  

e)

 6x6-x  

8.

 (fog)(32) dari f(x)=3x6\left(fog\right)\left(3-2\right)\ dari\ f\left(x\right)=3x-6  dan  g(x)=13x+1g\left(x\right)=-\frac{1}{3}x+1  adalah ...


a)

1

b)

2

c)

0

d)

-1

e)

-2