Free Printable Latihan fungsi invers dan fungsi komposisi invers

1.

Diketahui f yang ditentukan oleh $f\left(x\right)=\frac{2x-3}{3x+1},\ x\ne-\frac{1}{3}.\ Maka\ f^{-1}\left(x\right)=...$

a)

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

b)

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

c)

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

d)

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

e)

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

2.

Diketahui $f\left(x\right)=\frac{1-2x}{3x+4},\ x\ne-\frac{4}{3}.\ Maka\ f^{-1}\left(x\right)=...$

a)

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

b)

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

c)

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

d)

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

e)

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

3.

Fungsi invers dari $f\left(x\right)=\frac{3x+4}{2x-1}$

a)

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

b)

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

c)

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

d)

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

e)

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

4.

Diketahui fungsi f dengan rumus $f\left(x\right)=2x+1.\ Nilai\ f^{-1}\left(5\right)=...$

a)

11

b)

6

c)

4

d)

3

e)

2

5.

Diketahui $f\left(x\right)=\frac{x+2}{x-3},\ x\ne\ne3.\ Nilai\ f^{-1}\left(-4\right)=...$

a)

-2

b)

-1

c)

0

d)

1

e)

2

6.

Diketahui $f\left(x\right)=\frac{x-4}{3x+2},\ x\ne-\frac{2}{3}.\ Nilai\ f^{-1}\left(1\right)=...$

a)

3

b)

1

c)

0

d)

-1

e)

-3

7.

Fungsi $f:R\rightarrow R\ dan\ g:R\rightarrow R$ ditentukan oleh $f\left(x\right)=2x+1\ dan\ g\left(x\right)=3x+2.$ Maka $\left(fog\right)\left(x\right)=...$

a)

6x+3

b)

6x-3

c)

6x+5

d)

6x-5

e)

-6x+5

8.

Diketahui fungsi $f\left(x\right)=x^2-5x+1\ dan\ g\left(x\right)=x+5.\ \left(fog\right)\left(x\right)=...$

a)

$x^2-x-1$

b)

$x^2+x-1$

c)

$x^2+5x+1$

d)

$x^2-5x+10$

e)

$x^2-5x+25$

9.

Diketahui $f\left(x\right)=4x-2\ dan\ g\left(x\right)=x^2+8x+16.$

Maka $\left(gof\right)\left(x\right)=...$

a)

$8x^2+16x-4$

b)

$8x^2+16x+4$

c)

$16x^2+8x-4$

d)

$16x^2-16x+4$

e)

$16x^2+16x+4$

10.

Jika diketahui $f\left(x\right)=x+3\ dan\ g\left(x\right)=2x^2-x.\ \left(gof\right)\left(x\right)=...$

a)

$2x^2-x+3$

b)

$2x^2-12x+15$

c)

$2x^2-12x+21$

d)

$2x^2+11x+15$

e)

$2x^2+11x+21$

11.

Jika $f\left(x\right)=3\sqrt[]{x}\ dan\ g\left(x\right)=x^2-2x.\ \left(gof\right)\left(4\right)=...$

a)

0

b)

6

c)

24

d)

30

e)

36

12.

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

a)

$1\ \frac{4}{7}$

b)

3

c)

6

d)

$6\ \frac{2}{3}$

e)

$8$

13.

Diketahui $f\left(x\right)=x+1\ dan\ \left(fog\right)\left(x\right)=3x^2+4.\ Nilai\ g\left(x\right)=...$

a)

$3x^2+4$

b)

$3x^2+3$

c)

$3x^2-4$

d)

$3\left(x^2+2\right)$

e)

$3\left(x^2+3\right)$

14.

Jika $g\left(x\right)=x+1\ dan\ \left(fog\right)\left(x\right)=x^2+3x+1,\ maka\ f\left(x\right)=...$

a)

$x^2+5x+5$

b)

$x^2+x-1$

c)

$x^2+4x+3$

d)

$x^2+6x+1$

e)

$x^2+3x-1$

15.

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

a)

$2x^2+4x+1$

b)

$2x^2+2x+1$

c)

$x^2+2x-\frac{1}{2}$

d)

$x^2+4x+2$

e)

$x^2+4x+1$

16.

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

a)

8

b)

10

c)

12

d)

14

e)

16

17.

Dari fungsi f dan g diketahui $f\left(x\right)=2x^2+3x-5\ dan\ g\left(x\right)=3x-2.$ Agar $\left(gof\right)\left(a\right)=-11$ nilai a yang positif adalah...

a)

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

b)

$1\ \frac{1}{6}$

c)

$1$

d)

$\frac{1}{2}$

e)

$\frac{1}{6}$

18.

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

a)

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

b)

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

c)

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

d)

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

e)

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

19.

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

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

a)

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

b)

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

c)

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

d)

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

e)

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

20.

Diketahui $f\left(x\right)=x+2\ dan\ g\left(x\right)=\frac{15}{x}.\ \left(f^{-1}og^{-1}\right)\left(x\right)=1.$

Nilai x adalah...

a)

1

b)

2

c)

3

d)

4

e)

5

Latihan fungsi invers dan fungsi komposisi invers

Total questions: 20

Worksheet time: 3600secs

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