Quiz about Invers dan Komposisi Fungsi

Question 1

Tentukan invers dari fungsi f(x) = 2x + 3.

Accepted Answer

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

Answer

$$f^{-1}\left(x\right)=2x-3$$

Answer

$$f^{-1}\left(x\right)=2\left(x-3\right)$$

Answer

$$f^{-1}\left(x\right)=x-3$$

Question 2

Hitung komposisi fungsi $$g\left(f\left(x\right)\right)\ jika\ g\left(x\right)=x^2\ dan\ f\left(x\right)=3x-1.$$

Accepted Answer

$$\left(3x-1\right)^2=9x^2-6x+1$$

Answer

$$\left(3x-1\right)^2=6x^2-6x+1$$

Answer

$$g\left(f\left(x\right)\right)=9x-1$$

Answer

$$g\left(f\left(x\right)\right)=3x^2-1$$

Question 3

Jika h(x) = 8x+5, cari invers dari h.

Accepted Answer

$$h^{-1}\left(x\right)=\frac{x-5}{8}$$

Answer

$$h^{-1}\left(x\right)=8\left(x+5\right)$$

Answer

$$h^{-1}\left(x\right)=\frac{x+5}{8}$$

Answer

$$h^{-1}\left(x\right)=8x-5$$

Question 4

Diberikan fungsi f(x) = x + 4 dan g(x) = 2x tentukan $$\left(gof\right)\left(x\right)=...$$

Accepted Answer

2x + 8

Answer

2x + 4

Answer

x + 8

Answer

2x + 2

Question 5

jika $$f\left(x\right)=4x+7\ dan\ komposisi\ fungsi\ \left(fog\right)\left(x\right)=8x-5.\ $$

Accepted Answer

$$g\left(x\right)=2x-3$$

Answer

$$g\left(x\right)=2x-4$$

Answer

$$g\left(x\right)=2x+3$$

Answer

$$g\left(x\right)=4x+2$$

Question 6

Cari invers dari fungsi $$f\left(x\right)=\frac{3x+5}{2x-1}$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

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