Quiz about Repaso - Parcial 2A - Funciones

Question 1

Seleccione todas aquellas funciones que sean pares.

Accepted Answer

Accepted Answer

Question 2

Seleccione todas aquellas funciones que sean impares.

Accepted Answer

Question 3

Considere las funciones $$f\left(x\right)=x^3+1$$ y $$g\left(x\right)=\frac{1}{x}$$ .

Determine $$\left(\frac{f}{g}\right)\left(x\right)$$

Accepted Answer

$$\left(\frac{f}{g}\right)\left(x\right)=x^4+x$$

Answer

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

Answer

$$\left(\frac{f}{g}\right)\left(x\right)=x^4+1$$

Answer

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

Question 4

Considere las funciones $$f\left(x\right)=x^3+1$$ y $$g\left(x\right)=\frac{1}{x}$$ .

Determine $$\left(f\ o\ g\right)\left(x\right)$$

Accepted Answer

$$\left(f\ o\ g\right)\left(x\right)=\frac{1}{x^3}+1$$

Answer

$$\left(f\ o\ g\right)\left(x\right)=\frac{x^3+1}{x}$$

Answer

$$\left(f\ o\ g\right)\left(x\right)=\frac{1}{x^3+1}$$

Answer

$$\left(f\ o\ g\right)\left(x\right)=x^3+\frac{1}{x}$$

Question 5

Considere las funciones $$f\left(x\right)=x^3+1$$ y $$g\left(x\right)=\frac{1}{x}$$ .

Determine $$\left(g\ o\ f\right)\left(x\right)$$

Accepted Answer

$$\left(g\ o\ f\right)\left(x\right)=\frac{1}{x^3+1}$$

Answer

$$\left(g\ o\ f\right)\left(x\right)=\frac{x^3+1}{x}$$

Answer

$$\left(g\ o\ f\right)\left(x\right)=\frac{1}{x^3}+1$$

Answer

$$\left(g\ o\ f\right)\left(x\right)=x^3+\frac{1}{x}$$

Question 6

Considere las funciones $$f\left(x\right)=x^2+2x+1$$ y $$g\left(x\right)=2x+1$$ .

Determine $$\left(f\ o\ g\right)\left(x\right)$$

Accepted Answer

$$\left(f\ o\ g\right)\left(x\right)=4\left(x+1\right)^2$$

Answer

$$\left(f\ o\ g\right)\left(x\right)=4x^2+8x+2$$

Answer

$$\left(f\ o\ g\right)\left(x\right)=x^2+5x+2$$

Answer

$$\left(f\ o\ g\right)\left(x\right)=\left(2x+1\right)^2$$

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