limit fungsi

OPERASI ALJABAR FUNGSI​

By Isnaini Oppo

Operasi Aljabar fungsi ada 4​

-Penjumlahan

-Pengurangan

-Perkalian

-Pembagian​

Operasi penjumlahan dan pengurangan fungsi aljabar​

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Operasi perkalian aljabar fungsi​

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Operasi pembagian aljabar fungsi

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​Quiz

Multiple Choice

Jika  $$f(x)=2x+5$$   dan $$g(x)=3x+8$$  , maka  $$(f-g)(x)$$   adalah ...

• $$x+3$$  

• $$x+13$$  

• $$-x+13$$  

• $$-x-3$$  

• $$-x+3$$  

Multiple Choice

Jika  $$f(x)=2x+5$$   dan $$g(x)=3x+8$$  , maka  $$(f-g)(x)$$   adalah ...

• $$x+3$$  

• $$x+13$$  

• $$-x+13$$  

• $$-x-3$$  

• $$-x+3$$  

Multiple Choice

Jika  $$f(x)=2x+5$$   dan $$g(x)=3x+8$$  , maka  $$(f-g)(x)$$   adalah ...

• $$x+3$$  

• $$x+13$$  

• $$-x+13$$  

• $$-x-3$$  

• $$-x+3$$  

Multiple Choice

Dari himpunan pasangan berurutan berikut yang merupakan fungsi adalah…

• {(1,2),(2,4)(3,6),(4,6)}

• {(0,6),(1,4)(0,9),(1,6)}

• {(1,2),(1,4)(0,4),(1,6)}

• {(0,1),(0,2)(1,3),(1,4)}

Multiple Choice

Diketahui fungsi $$f\left(x\right)=x^2+2x$$  dan  $$g\left(x\right)=\frac{2}{x+3}$$  maka  $$\left(f.g\right)\left(x\right)$$  adalah...

• $$\frac{2x^2-4x}{x+3}$$  

• $$\frac{2x^2+4x}{x+3}$$  

• $$\frac{2x^2+2x}{x+3}$$  

• $$\frac{2x^2-2x}{x+3}$$  

• $$\frac{2x^2-2x}{x-3}$$  

Multiple Choice

Diketahui fungsi $$f\left(x\right)=x^2+2x$$  dan  $$g\left(x\right)=\frac{2}{x+3}$$  maka  $$\left(f.g\right)\left(x\right)$$  adalah...

• $$\frac{2x^2-4x}{x+3}$$  

• $$\frac{2x^2+4x}{x+3}$$  

• $$\frac{2x^2+2x}{x+3}$$  

• $$\frac{2x^2-2x}{x+3}$$  

• $$\frac{2x^2-2x}{x-3}$$  

Multiple Choice

Diketahui fungsi $$f\left(x\right)=x^2+2x$$  dan  $$g\left(x\right)=\frac{2}{x+3}$$  maka  $$\left(f.g\right)\left(x\right)$$  adalah...

• $$\frac{2x^2-4x}{x+3}$$  

• $$\frac{2x^2+4x}{x+3}$$  

• $$\frac{2x^2+2x}{x+3}$$  

• $$\frac{2x^2-2x}{x+3}$$  

• $$\frac{2x^2-2x}{x-3}$$  

Multiple Choice

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

• $$30x+20$$  

• $$30x+21$$  

• $$-30x+22$$  

• $$-30x+23$$  

• $$-30x+24$$  

Multiple Choice

$$f(x)=3x+4$$  Jika dan $$g(x)=6-2x$$  , maka nilai dari  $$(fog)(3)$$   adalah ….

• -20

• -8

• 4

• -10

Multiple Choice

$$f(x)=3x+4$$  Jika dan $$g(x)=6-2x$$  , maka nilai dari  $$(fog)(3)$$   adalah ….

• -20

• -8

• 4

• -10

Multiple Choice

Jika $$\left(gof\right)\left(x\right)=4x^2+4x$$ , dan  $$g\left(x\right)=x^2-1$$    maka nilai  $$f\left(-3\right)$$    adalah ....

• 24

• 8

• 4

• -5

• -6

Multiple Choice

$$f(x)=3x+4$$  Jika dan $$g(x)=6-2x$$  , maka nilai dari  $$(fog)(3)$$   adalah ….

• -20

• -8

• 4

• -10

Multiple Choice

Diketahui fungsi $$f(x)=x+3$$  ,   $$g(x)=x^2-2x+1$$  , dan $$h(x)=3x+2$$  . Nilai $$\left(f\circ g\circ h\right)\left(-1\right)$$ adalah ...

• 3                                                                                                                                                                                                                                                                                                                                                                                                                           
  

• 4

• 7

• 9

Multiple Choice

Jika fungsi  $$f(x)=3x-1$$   dan  $$g(x)=2x^2+2$$   maka $$(gof)(x)$$   adalah...

• $$18x^2+12x+4$$  

• $$18x^2-12x-4$$  

• $$18x^2+12x-4$$  

• $$18x^2-12x+4$$  

• $$18x^2-4x+12$$  

Multiple Choice

Diketahui $$f\left(x\right)=\frac{x}{x-1}$$

untuk  $$x\ne1$$ . Fungsi invers  $$f\left(x\right)$$  adalah ...

• $$\frac{x}{x+1}$$  

• $$\frac{x}{x-1}$$  

• $$\frac{x-1}{x}$$  

• $$\frac{1}{x-1}$$  

• $$\frac{1}{x+1}$$  

Multiple Choice

Jika fungsi  $$f(x)=3x-1$$   dan  $$g(x)=2x^2+2$$   maka $$(gof)(x)$$   adalah...

• $$18x^2+12x+4$$  

• $$18x^2-12x-4$$  

• $$18x^2+12x-4$$  

• $$18x^2-12x+4$$  

• $$18x^2-4x+12$$  

Multiple Choice

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

• $$x^2-6x+13$$  

• $$x^2-6x+5$$  

• $$x^2+6x+5$$  

• $$x^2-1$$  

Multiple Choice

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

• $$x^2-6x+13$$  

• $$x^2-6x+5$$  

• $$x^2+6x+5$$  

• $$x^2-1$$  

Multiple Choice

Diketahui $$f\left(x\right)=\frac{x}{x-1}$$

untuk  $$x\ne1$$ . Fungsi invers  $$f\left(x\right)$$  adalah ...

• $$\frac{x}{x+1}$$  

• $$\frac{x}{x-1}$$  

• $$\frac{x-1}{x}$$  

• $$\frac{1}{x-1}$$  

• $$\frac{1}{x+1}$$  

Multiple Choice

Diketahui $$f\left(x\right)=\frac{x}{x-1}$$

untuk  $$x\ne1$$ . Fungsi invers  $$f\left(x\right)$$  adalah ...

• $$\frac{x}{x+1}$$  

• $$\frac{x}{x-1}$$  

• $$\frac{x-1}{x}$$  

• $$\frac{1}{x-1}$$  

• $$\frac{1}{x+1}$$  

alhamdulillah telah selesai​

Multiple Choice

Jika $$\left(gof\right)\left(x\right)=4x^2+4x$$ , dan  $$g\left(x\right)=x^2-1$$    maka nilai  $$f\left(-3\right)$$    adalah ....

• 24

• 8

• 4

• -5

• -6