Fungsi f ditentukan oleh f ( x ) = 2 x + 1 x − 3 , x ≠ 3 f\left(x\right)=\frac{2x+1}{x-3},\ x\ne3 f ( x ) = x − 3 2 x + 1 , x  = 3 jika f − 1 f^{-1} f − 1 invers dari f, maka f − 1 ( x + 1 ) = f^{-1}\left(x+1\right)= f − 1 ( x + 1 ) = ...

3 x + 1 x − 2 , x ≠ 2 \frac{3x+1}{x-2},\ x\ \ne2 x − 2 3 x + 1 , x  = 2

3 x − 1 x − 2 , x ≠ 2 \frac{3x-1}{x-2},\ x\ne2 x − 2 3 x − 1 , x  = 2

3 x + 2 x − 1 , x ≠ 1 \frac{3x+2}{x-1},\ x\ne1 x − 1 3 x + 2 , x  = 1

3 x + 2 x + 1 , x ≠ − 1 \frac{3x+2}{x+1},\ x\ne-1 x + 1 3 x + 2 , x  = − 1

3 x + 4 x − 1 , x ≠ 1 \frac{3x+4}{x-1},\ x\ne1 x − 1 3 x + 4 , x  = 1

Diketahui f = { ( 1 , 1 ) , ( 2 , 3 ) , ( 3 , 5 ) , ( 5 , 7 ) } f=\left\{\left(1,1\right),\left(2,3\right),\left(3,5\right),\left(5,7\right)\right\} f = { ( 1 , 1 ) , ( 2 , 3 ) , ( 3 , 5 ) , ( 5 , 7 ) } dan g = { ( 1 , 3 ) , ( 3 , 5 ) , ( 5 , 7 ) } g=\left\{\left(1,3\right),\left(3,5\right),\left(5,7\right)\right\} g = { ( 1 , 3 ) , ( 3 , 5 ) , ( 5 , 7 ) } . Komposisi ( f o g ) = . . . . \left(fo\ g\right)=.... ( f o g ) = . . . .

{ ( 1 , 5 ) , ( 3 , 7 ) } \left\{\left(1,5\right),\left(3,7\right)\right\} { ( 1 , 5 ) , ( 3 , 7 ) }

{ ( 1 , 5 ) , ( 3 , 5 ) } \left\{\left(1,5\right),\left(3,5\right)\right\} { ( 1 , 5 ) , ( 3 , 5 ) }

{ ( 1 , 3 ) , ( 3 , 7 ) } \left\{\left(1,3\right),\left(3,7\right)\right\} { ( 1 , 3 ) , ( 3 , 7 ) }

{ ( 1 , 5 ) , ( 3 , 7 ) , ( 7 , 4 ) } \left\{\left(1,5\right),\left(3,7\right),\left(7,4\right)\right\} { ( 1 , 5 ) , ( 3 , 7 ) , ( 7 , 4 ) }

{ ( 1 , 5 ) , ( 3 , 7 ) , ( 7 , 9 ) } \left\{\left(1,5\right),\left(3,7\right),\left(7,9\right)\right\} { ( 1 , 5 ) , ( 3 , 7 ) , ( 7 , 9 ) }

Diketahui g ( x ) = 3 x + 2 g\left(x\right)=3x+2 g ( x ) = 3 x + 2 dan ( f o g ) ( x ) = 3 x + 2 3 x + 1 ; x ≠ − 1 3 \left(f\ o\ g\right)\left(x\right)=\frac{3x+2}{3x+1};\ x\ne-\frac{1}{3} ( f o g ) ( x ) = 3 x + 1 3 x + 2 ; x  = − 3 1 . Rumus fungsi f ( x ) = . . . . f\left(x\right)=.... f ( x ) = . . . .

x x − 1 ; x ≠ 1 \frac{x}{x-1};\ x\ne1 x − 1 x ; x  = 1

x 3 x + 2 ; x ≠ − 2 3 \frac{x}{3x+2};\ x\ne-\frac{2}{3} 3 x + 2 x ; x  = − 3 2

x x + 2 ; x ≠ − 2 \frac{x}{x+2};\ x\ne-2 x + 2 x ; x  = − 2

3 x 3 x − 1 ; x ≠ 1 3 \frac{3x}{3x-1};\ x\ne\frac{1}{3} 3 x − 1 3 x ; x  = 3 1

3 x 3 x − 3 ; x ≠ 1 \frac{3x}{3x-3};\ x\ne1 3 x − 3 3 x ; x  = 1

Jika f(x) = x – 3 dan g (x) = 3 – 2x, maka ( f ∘ g ) − 1 = \left(f\ \circ\ g\right)^{-1}= ( f ∘ g ) − 1 = adalah

− 1 2 x -\frac{1}{2}x − 2 1 x

3 − 1 2 x 3-\frac{1}{2}x 3 − 2 1 x

1 2 x − 3 \frac{1}{2}x-3 2 1 x − 3

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Fungsi Komposisi dan Fungsi Invers

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Mathematics

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10th Grade

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Practice Problem

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Medium

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CCSS

HSF.IF.A.1, 8.F.A.1, HSF.BF.B.4

Standards-aligned

Fatkul Rahmawati

Used 86+ times

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20 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Fungsi f ditentukan oleh $f\left(x\right)=\frac{2x+1}{x-3},\ x\ne3$ jika $f^{-1}$ invers dari f, maka $f^{-1}\left(x+1\right)=$ ...

$\frac{3x-1}{x-2},\ x\ne2$

$\frac{3x+1}{x-2},\ x\ \ne2$

$\frac{3x+2}{x-1},\ x\ne1$

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

$\frac{3x+4}{x-1},\ x\ne1$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Jika f(x)=x-2, maka f(3)=⋯

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Diagram Venn tersebut termasuk ....

Fungsi

Bukan fungsi

Fungsi dan bukan fungsi

Fungsi atau bukan fungsi

Fungsi tetapi bukan fungsi

Fungsi f : R -> R dan g : R -> R ditentukan oleh f(x) = 2x + 1 dan
g(x) = 3x + 2. maka rumus fungsi (fog)(x) adalah …

6x + 3

6x – 3

6x + 5

6x – 5

–6x + 5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Jika f(x) = 3x+4 dan g(x) = 4x+2 maka (f o g)(x) = . . .

3x+2

12x+10

10x+12

12x+18

Jika f(x) = 2x²+4 dan g(x) = 4x+2 maka (g o f)(x) = . . .

2x²+8x+3

4x²+16x+8

x²+4x+2

16x²+18

Jika f(x) = 4x+5 dan g(x)=x²+4maka (g o f)(x) = . . .

4x²+9

4x+9

4x²+11

4x+11

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Fungsi f ditentukan oleh $f\left(x\right)=\frac{2x+1}{x-3},\ x\ne3$ jika $f^{-1}$ invers dari f, maka $f^{-1}\left(x+1\right)=$ ...

Jika f(x)=x-2, maka f(3)=⋯

Diagram Venn tersebut termasuk ....

Fungsi f : R -> R dan g : R -> R ditentukan oleh f(x) = 2x + 1 dan
g(x) = 3x + 2. maka rumus fungsi (fog)(x) adalah …

Jika f(x) = 3x+4 dan g(x) = 4x+2 maka (f o g)(x) = . . .

Jika f(x) = 2x²+4 dan g(x) = 4x+2 maka (g o f)(x) = . . .

Jika f(x) = 4x+5 dan g(x)=x²+4maka (g o f)(x) = . . .

Jika f(x) = 4x+8 maka invers fungsi f adalah ...

Jika f(x) = 3x-7 maka invers fungsi f adalah ...

Fungsi f:R→R dengan rumus f(x)=2x+3. Jika f ^-1 (x) adalah invers fungsi f(x), maka f ^-1 (x)=...

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Fungsi f ditentukan oleh f(x)=2x+1x−3, x≠3f\left(x\right)=\frac{2x+1}{x-3},\ x\ne3f(x)=x−32x+1​, x​=3 jika f−1f^{-1}f−1 invers dari f, maka f−1(x+1)=f^{-1}\left(x+1\right)=f−1(x+1)= ...

Jika f(x)=x-2, maka f(3)=⋯

Diagram Venn tersebut termasuk ....

Fungsi f : R -> R dan g : R -> R ditentukan oleh f(x) = 2x + 1 dan g(x) = 3x + 2. maka rumus fungsi (fog)(x) adalah …

Jika f(x) = 3x+4 dan g(x) = 4x+2 maka (f o g)(x) = . . .

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Fungsi f ditentukan oleh $f\left(x\right)=\frac{2x+1}{x-3},\ x\ne3$ jika $f^{-1}$ invers dari f, maka $f^{-1}\left(x+1\right)=$ ...

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