Diketahui f (x) = 2 x + 7 3 x − 5 , x ≠ 5 3 , f − 1 ( x ) \frac{2x+7}{3x-5}\ ,\ x\ \ne\frac{5}{3}\ \ ,\ f^{-1}\left(x\right) 3 x − 5 2 x + 7 , x  = 3 5 , f − 1 ( x ) adalah fungsi invers dari f(x), f − 1 ( x ) f^{-1}\left(x\right) f − 1 ( x ) adalah ....

5 x + 7 3 x − 2 \frac{5x\ +\ 7}{3x\ -\ 2} 3 x − 2 5 x + 7

− 5 x + 7 3 x + 2 \frac{-5x\ +\ 7}{3x\ +\ 2} 3 x + 2 − 5 x + 7

− 5 x + 7 3 x − 2 \frac{-5x\ +\ 7}{3x\ -\ 2} 3 x − 2 − 5 x + 7

5 x + 7 3 x + 2 \frac{5x\ +\ 7}{3x\ +\ 2} 3 x + 2 5 x + 7

5 x − 7 3 x − 2 \frac{5x\ -\ 7}{3x\ -\ 2} 3 x − 2 5 x − 7

f ( x ) = 4 x + 3 f\ \left(x\right)\ =\ 4x\ +\ 3 f ( x ) = 4 x + 3 dan g ( x ) = x + 2 g\ \left(x\right)\ =\ x\ +\ 2 g ( x ) = x + 2 , ( f o g ) − 1 ( x ) \left(f\ o\ g\right)\ ^{-1}\ \left(x\right) ( f o g ) − 1 ( x ) adalah invers dari fungsi ( f o g ) \left(\ f\ o\ g\ \right) ( f o g ) , maka ( f o g ) − 1 ( x ) \left(f\ o\ g\right)\ ^{-1}\ \left(x\right) ( f o g ) − 1 ( x ) adalah ....

x − 11 4 \frac{x-11}{4} 4 x − 1 1

x + 11 4 \frac{x+11}{4} 4 x + 1 1

− x − 11 4 \frac{-x-11}{4} 4 − x − 1 1

x − 11 − 4 \frac{x-11}{-4} − 4 x − 1 1

x + 11 − 4 \frac{x+11}{-4} − 4 x + 1 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

Invers Fungsi dan Komposisi Fungsi

Authored by I Kade Sukartayana

Mathematics

11th Grade

CCSS covered

Used 80+ times

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10 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Jika $g\left(x\right)=\ x^2-7$ dan $\left(g\ \circ\ f\right)\left(x\right)=4x^2+16x+9,\$ fungsi $f\left(x\right)$ adalah ...

$-3x+7$

$-2x-2$

$2x+4$

$2x+8$

$3x+11$

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.REI.B.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Jika $g\left(x\right)=x^2-2x$
dan $\left(g\ \circ\ f\right)\left(x\right)=x^2-10x+24$ fungsi $f\left(x\right)$ adalah ...

$6-x$

$4-x$

$x-6$

$x-4$

$x+4$

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.CED.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Diketahui g(x) = 3x+4 dan f(x) = 2x, nilai (f o g) (1) adalah ....

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Diketahui f (x) = $\frac{2x+7}{3x-5}\ ,\ x\ \ne\frac{5}{3}\ \ ,\ f^{-1}\left(x\right)$ adalah fungsi invers dari f(x), $f^{-1}\left(x\right)$ adalah ....

$\frac{-5x\ +\ 7}{3x\ +\ 2}$

$\frac{-5x\ +\ 7}{3x\ -\ 2}$

$\frac{5x\ +\ 7}{3x\ +\ 2}$

$\frac{5x\ -\ 7}{3x\ -\ 2}$

$\frac{5x\ +\ 7}{3x\ -\ 2}$

Tags

CCSS.HSF.BF.B.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$f\ \left(x\right)\ =\ 4x\ +\ 3$ dan $g\ \left(x\right)\ =\ x\ +\ 2$ , $\left(f\ o\ g\right)\ ^{-1}\ \left(x\right)$ adalah invers dari fungsi $\left(\ f\ o\ g\ \right)$ , maka $\left(f\ o\ g\right)\ ^{-1}\ \left(x\right)$ adalah ....

$\frac{x+11}{4}$

$\frac{x-11}{4}$

$\frac{-x-11}{4}$

$\frac{x-11}{-4}$

$\frac{x+11}{-4}$

Tags

CCSS.HSF.BF.B.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

$2x$

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

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

$-2x$

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

Tags

CCSS.HSF.BF.B.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Diketahui f(x)=6x-3, g(x)=5x+4 sehingga (fog)(x)=⋯

30x+20

30x+21

-30x+22

-30x+23

-30x+24

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Diketahui $f\left(x\right)=\sqrt{2x+3}$ , maka invers dari $f\left(x\right)$ adalah....

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

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

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

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

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

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Jika $f\left(x\right)=2x-2$ , $g\left(x\right)=3x-5$ , dan $h\left(x\right)=x-4$ maka $\left(f\ o\ g\ o\ h\right)\left(x\right)=....$

$6x-32$

$6x-36$

$6x+32$

$6x+36$

$6x-19$

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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Invers Fungsi dan Komposisi Fungsi

Jika g(x)= x2−7g\left(x\right)=\ x^2-7g(x)= x2−7 dan (g ∘ f)(x)=4x2+16x+9, \left(g\ \circ\ f\right)\left(x\right)=4x^2+16x+9,\ (g ∘ f)(x)=4x2+16x+9, fungsi f(x)f\left(x\right)f(x) adalah ...

Jika g(x)=x2−2xg\left(x\right)=x^2-2xg(x)=x2−2x dan (g ∘ f)(x)=x2−10x+24\left(g\ \circ\ f\right)\left(x\right)=x^2-10x+24(g ∘ f)(x)=x2−10x+24 fungsi f(x)f\left(x\right)f(x) adalah ...

Diketahui g(x) = 3x+4 dan f(x) = 2x, nilai (f o g) (1) adalah ....

Diketahui f (x) = 2x+73x−5 , x ≠53 , f−1(x)\frac{2x+7}{3x-5}\ ,\ x\ \ne\frac{5}{3}\ \ ,\ f^{-1}\left(x\right)3x−52x+7​ , x ​=35​ , f−1(x) adalah fungsi invers dari f(x), f−1(x)f^{-1}\left(x\right)f−1(x) adalah ....

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

Diketahui f(x)=6x-3, g(x)=5x+4 sehingga (fog)(x)=⋯

Jika f(x)=x2-3x+2 dan g(x)=4x+1, maka (gof)(x)=⋯

Diketahui f(x)=2x+3f\left(x\right)=\sqrt{2x+3}f(x)=2x+3​ , maka invers dari f(x)f\left(x\right)f(x) adalah....

Jika f(x)=2x−2f\left(x\right)=2x-2f(x)=2x−2 , g(x)=3x−5g\left(x\right)=3x-5g(x)=3x−5 , dan h(x)=x−4h\left(x\right)=x-4h(x)=x−4 maka (f o g o h)(x)=....\left(f\ o\ g\ o\ h\right)\left(x\right)=....(f o g o h)(x)=....

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Jika $g\left(x\right)=\ x^2-7$ dan $\left(g\ \circ\ f\right)\left(x\right)=4x^2+16x+9,\$ fungsi $f\left(x\right)$ adalah ...

Jika $g\left(x\right)=x^2-2x$
dan $\left(g\ \circ\ f\right)\left(x\right)=x^2-10x+24$ fungsi $f\left(x\right)$ adalah ...

Diketahui f (x) = $\frac{2x+7}{3x-5}\ ,\ x\ \ne\frac{5}{3}\ \ ,\ f^{-1}\left(x\right)$ adalah fungsi invers dari f(x), $f^{-1}\left(x\right)$ adalah ....

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

Jika f(x)=x²-3x+2 dan g(x)=4x+1, maka (gof)(x)=⋯

Diketahui $f\left(x\right)=\sqrt{2x+3}$ , maka invers dari $f\left(x\right)$ adalah....

Jika $f\left(x\right)=2x-2$ , $g\left(x\right)=3x-5$ , dan $h\left(x\right)=x-4$ maka $\left(f\ o\ g\ o\ h\right)\left(x\right)=....$