INVERS FUNGSI

INVERS FUNGSI

By Salahuddin Ayub

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Multiple Choice

Fungsi f dinyatakan oleh f(x) = 3x-5. Jika $$f^{-1}$$  invers fungsi f, invers f(x) adalah ...

• $$\frac{x-3}{5}$$  

• $$\frac{x+3}{5}$$  

• $$\frac{x-5}{3}$$  

• $$\frac{x+5}{3}$$  

Multiple Choice

Fungsi f dinyatakan oleh f(x) = 3x-5. Jika $$f^{-1}$$  invers fungsi f, invers f(x) adalah ...

• $$\frac{x-3}{5}$$  

• $$\frac{x+3}{5}$$  

• $$\frac{x-5}{3}$$  

• $$\frac{x+5}{3}$$  

Multiple Choice

Invers dari $$f\left(x\right)=\frac{2-3x}{x+5};\ x\ne-5$$ adalah ....

• $$f^{-1}\left(x\right)=\frac{5x-2}{x+3};\ x\ne-3$$  

• $$f^{-1}\left(x\right)=\frac{2-5x}{x+3};\ x\ne-3$$  

• $$f^{-1}\left(x\right)=\frac{5x-2}{x-3};\ x\ne3$$  

• $$f^{-1}\left(x\right)=\frac{2-5x}{x-3};\ x\ne3$$  

• $$f^{-1}\left(x\right)=\frac{5x+2}{x+3};\ x\ne-3$$  

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

• $$2x$$  

• $$3-\frac{1}{2}x$$  

• $$-\frac{1}{2}x$$  

• $$-2x$$  

• $$\frac{1}{2}x-3$$  

Multiple Choice

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

• 4x²-3x+3

• .4x²-3x+8

• 4x²-4x+6

• 4x²-12x+8

• 4x²-12x+9

Multiple Choice

Diketahui fungsi f(x) = x + 10, maka f^-1(2) adalah...

• 10

• 8

• -8

• -10

Multiple Choice

Diketahui fungsi f dengan rumus f(x) = 2x – 3 dan f^-1 adalah fungsi invers dari f. Nilai dari f^-1 (-1)=…

• -2

• -1

• 1

• 2

• 3

Multiple Choice

Fungsi F(x)= $$\frac{3x-6}{9-6x}$$  berapakah  $$f^{-1}\left(-3\right)=....$$  

• $$\frac{7}{5}$$  

• $$\frac{4}{3}$$  

• $$-\frac{3}{4}$$  

• 0

• $$-\frac{5}{9}$$  

Multiple Choice

Bila $$f\left(x\right)=\frac{2x-1}{4x-5}$$  , maka  $$f^{-1}\left(x\right)$$  adalah . . .

• $$\frac{5x+1}{2x-4}$$  

• $$\frac{4x-5}{2x-1}$$  

• $$\frac{x-5}{2x-4}$$  

• $$\frac{5x-1}{4x-2}$$  

• $$\frac{5x+1}{-2x+4}$$  

Multiple Choice

Bila  $$f\left(x\right)=4x-1$$  , maka  $$f^{-1}\left(2\right)$$  adalah . . . .

• $$\frac{1}{8}$$  

• $$\frac{1}{4}$$  

• $$\frac{3}{4}$$  

• $$\frac{5}{4}$$  

• $$\frac{5}{2}$$