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Komposisi Dua Fungsi dan Tiga Fungsi

Total questions: 10

Worksheet time: 39mins

Name
Class
Date
1.

Jika diketahui fungsi

 f(x)=3x+6f\left(x\right)=3x+6 dan g(x)=x−2g\left(x\right)=x-2 , maka (fog)(x)\left(fog\right)\left(x\right) adalah . . . .

a)

 3(x)−2+63\left(x\right)-2+6  

b)

 3(x−2)+63\left(x-2\right)+6  

c)

 3x+6−23x+6-2  

d)

 3x+6+x−23x+6+x-2  

e)

 3x+6−x+23x+6-x+2  

2.

Jika diketahui fungsi f(x)=3x+6f\left(x\right)=3x+6 dan g(x)=x−2g\left(x\right)=x-2 , maka (fog)(x)\left(fog\right)\left(x\right) adalah . . . .

a)

 3x+43x+4  

b)

 3x−43x-4  

c)

 3x3x  

d)

 4x+44x+4  

e)

 2x+82x+8  

3.

Jika diketahui fungsi f(x)=x−1f\left(x\right)=x-1 dan g(x)=2x2+3x+2g\left(x\right)=2x^2+3x+2 , maka (gof)(x)\left(gof\right)\left(x\right) adalah . . . .

a)

 2x2−x+22x^2-x+2  

b)

 2x2−x2x^2-x  

c)

 2x2+x2x^2+x  

d)

 2x2−x+12x^2-x+1  

e)

 2x2+x+22x^2+x+2  

4.

Jika diketahui fungsi f(x)=x+3f\left(x\right)=x+3 dan g(x)=4x2+2x+6g\left(x\right)=4x^2+2x+6 , maka (fog)(x)\left(fog\right)\left(x\right) adalah . . . .

a)

 4x3+2x+64x^3+2x+6  

b)

 4x3+2x2+154x^3+2x^2+15  

c)

 4x2+2x+94x^2+2x+9  

d)

 4x2+3x+94x^2+3x+9  

e)

 4x2+x+34x^2+x+3  

5.

Jika diketahui fungsi f(x)=x+4f\left(x\right)=x+4 dan g(x)=x−32x−1g\left(x\right)=\frac{x-3}{2x-1} , maka (gof)(x)\left(gof\right)\left(x\right) adalah . . . .

a)

 2x+13x+3\frac{2x+1}{3x+3}  

b)

 2x+12x+7\frac{2x+1}{2x+7}  

c)

 x+12x+7\frac{x+1}{2x+7}  

d)

 x+13x+3\frac{x+1}{3x+3}  

e)

 2x−12x−7\frac{2x-1}{2x-7}  

6.

Jika diketahui fungsi f(x)=x−3f\left(x\right)=x-3 dan g(x)=x2−2x+2g\left(x\right)=x^2-2x+2 , maka (fog)(3)\left(fog\right)\left(3\right) adalah . . . .

(a)  

7.

Jika diketahui fungsi f(x)=x+2f\left(x\right)=x+2 , g(x)=2x−3g\left(x\right)=2x-3 , dan h(x)=3x−2h\left(x\right)=3x-2 , maka (fogoh)(x)\left(fogoh\right)\left(x\right) adalah . . . .

a)

 6x−66x-6  

b)

 6x−56x-5  

c)

 6x−46x-4  

d)

 6x+56x+5  

e)

 6x+66x+6  

8.

Jika diketahui fungsi f(x)=3x2f\left(x\right)=3x^2 , g(x)=x−2g\left(x\right)=x-2 , dan h(x)=2x+1h\left(x\right)=2x+1 , maka (gohof)(x)\left(gohof\right)\left(x\right) adalah . . . .

a)

 6x2+16x^2+1  

b)

 6x2−16x^2-1  

c)

 3x2+13x^2+1  

d)

 3x2+3x−13x^2+3x-1  

e)

 3x2−3x−13x^2-3x-1  

9.

Jika diketahui fungsi f(x)=x+1f\left(x\right)=x+1 , g(x)=x2g\left(x\right)=x^2 , dan h(x)=xx−1h\left(x\right)=\frac{x}{x-1} , maka (hofog)(x)\left(hofog\right)\left(x\right) adalah . . . .

a)

 x2+1x2−1\frac{x^2+1}{x^2-1}  

b)

 x2+2x+1x2+2x−1\frac{x^2+2x+1}{x^2+2x-1}  

c)

 x2+1x2\frac{x^2+1}{x^2}  

d)

 11  

e)

 x2+1x^2+1  

10.

Jika diketahui fungsi f(x)=2x2f\left(x\right)=2x^2 , g(x)=x−1g\left(x\right)=x-1 , dan h(x)=2x−1h\left(x\right)=2x-1 , maka (hogof)(−1)\left(hogof\right)\left(-1\right) adalah . . . .

(a)