Prueba corta 3.6 Funciones

$$\left(\frac{-5}{3},\ \frac{7}{3}\right]$$

$$\left(0,\ 5\right]$$

$$\left(\frac{2}{3},\ 1\right]$$

$$\left(\frac{-5}{3},\ 0\right]$$

$$\left[-4,\ 2\right)$$

$$\left[-3,\ 3\right)$$

$$\left[-4,\ 3\right)$$

$$\left[-3,\ 2\right)$$

$$\left[-1,\ 1\right]$$

$$\left[-2,\ 3\right]$$

$$\left[-1,\ 3\right]$$

$$\left[-2,\ 1\right]$$

–1

0

1

2

$$f$$ no es inyectiva y $$f\left(x\right)>0:\ \left(-2,\ 0\right]$$

$$f$$ es inyectiva y $$f\left(x\right)<0:\ \left(-\infty,\ -2\right]$$

$$f$$ es inyectiva y $$f\left(x\right)>0:\ \left[-2,\ 1\right]$$

$$f$$ no es inyectiva y $$f\left(x\right)<0:\ \left[3,\ +\infty\right)$$

$$\left(g\ ∘\ f\right)\left(x\right)=4x^2-6x+9$$

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

$$\left(g\ ∘\ f\right)\left(x\right)=4x^2-9$$

$$\left(g\ ∘\ f\right)\left(x\right)=4x^2-12x+9$$

$$\left(\frac{-5}{4},\frac{-1}{8}\right)$$

$$\left(\frac{5}{4},\frac{7}{8}\right)$$

$$\left(\frac{-7}{8},\frac{-5}{4}\right)$$

$$\left(\frac{5}{4},\frac{-7}{8}\right)$$

$$c>0,\ \Delta>0$$

$$c>0,\ \Delta<0$$

$$c<0,\ \Delta=0$$

$$c<0,\ \Delta>0$$

$$\left(-\infty,\ \frac{49}{8}\right]$$

$$\left(-\infty,\ \frac{-5}{4}\right]$$

$$\left[\frac{49}{8},\ +\infty\right)$$

$$\left[\frac{-5}{4},\ +\infty\right)$$