Free Printable Composición de funciones

1.

$f\left(x\right)=6x-2,\ g\left(x\right)=\frac{2x+5}{3x-4}$ Obtener $\left(f\circ g\right)\left(x\right)$

a)

$f\circ g\ =\ \frac{6x+38}{3x-4}$

b)

$f\circ g\ =\ \frac{12x+26}{3x-4}$

c)

$f\circ g\ =\ \frac{9x+22}{3x-4}$

d)

$f\circ g\ =\ \frac{12x+1}{3x-4}$

2.

$f\left(x\right)=6x-2,\ g\left(x\right)=\frac{2x+5}{3x-4}$ Obtener $\left(g\circ f\right)\left(x\right)$

a)

$g\circ f\ =\ \frac{12x+3}{18x-10}$

b)

$g\circ f\ =\ \frac{12x-3}{18x-6}$

c)

$g\circ f\ =\ \frac{12x-1}{18x+6}$

d)

$g\circ f\ =\ \frac{12x+1}{18x-10}$

3.

$f\left(x\right)=\frac{4x+1}{-x-3},\ g\left(x\right)=x+8$ Obtener $\left(f\circ g\right)\left(x\right)$

a)

$f\circ g\ =\ \frac{4x-33}{-x-11}$

b)

$f\circ g\ =\ -\frac{4x+33}{x+11}$

c)

$f\circ g\ =\ \frac{4x+33}{x+11}$

d)

$f\circ g\ =\ \frac{4x-33}{x-11}$

4.

$f\left(x\right)=\frac{4x+1}{-x-3},\ g\left(x\right)=x+8$ Obtener $\left(g\circ f\right)\left(x\right)$

a)

$g\circ f\ =\ \frac{4x+23}{x+3}$

b)

$g\circ f\ =\ \frac{-4x+23}{-x-3}$

c)

$g\circ f\ =\ \frac{-4x-23}{-x+3}$

d)

$g\circ f\ =\ \frac{4x-23}{-x-3}$

5.

$f\left(x\right)=3x-5,\ g\left(x\right)=\frac{x}{3}+\frac{5}{3}$ Obtener $\left(g\circ f\right)\left(x\right)$

a)

$g\circ f\ =\ 5x-3$

b)

$g\circ f\ =\ 3x+5$

c)

$g\circ f\ =\ -x$

d)

$g\circ f\ =\ x$

6.

$f\left(x\right)=\frac{1}{2x-1},\ g\left(x\right)=\frac{2x-1}{2x+1}$ Obtener $\left(f\circ g\right)\left(x\right)$

a)

$f\circ g\ =\ \frac{2x-1}{2x+3}$

b)

$f\circ g\ =\ \frac{2x+1}{2x-3}$

c)

$f\circ g\ =\ \frac{2x-1}{2x-3}$

d)

$f\circ g\ =\ \frac{2x+1}{2x+3}$

7.

$f\left(x\right)=\frac{1}{2x-1},\ g\left(x\right)=\frac{2x-1}{2x+1}$ Obtener $\left(g\circ f\right)\left(x\right)$

a)

$g\circ f\ =\ \frac{-2x+3}{2x+1}$

b)

$g\circ f\ =\ \frac{-2x-3}{2x+1}$

c)

$g\circ f\ =\ \frac{2x-3}{2x+1}$

d)

$g\circ f\ =\ \frac{2x+3}{2x+1}$

8.

$f\left(x\right)=\sqrt{x+2},\ g\left(x\right)=5x^2-8$ Obtener $\left(g\circ f\right)\left(x\right)$

a)

$g\circ f\ =\ 5x+2$

b)

$g\circ f\ =\ 5x-6$

c)

$g\circ f\ =\ \sqrt{5x^2-6}$

d)

$g\circ f\ =\ \sqrt{5x^2+6}$

9.

$f\left(x\right)=\frac{1}{x},\ g\left(x\right)=\frac{2x+3}{-4x+1}$ Obtener $\left(f\circ g\right)\left(x\right)$

a)

$f\circ g\ =\ \frac{-2x-3}{4x-1}$

b)

$f\circ g\ =\ \frac{-4x+1}{2x+3}$

c)

$f\circ g\ =\ \frac{4x-1}{2x+3}$

d)

$f\circ g\ =\ \frac{-4x+1}{2x-3}$

10.

$f\left(x\right)=\frac{1}{x},\ g\left(x\right)=\frac{2x+3}{-4x+1}$ Obtener $\left(g\circ f\right)\left(x\right)$

a)

$g\circ f\ =\ \frac{3x-2}{x-4}$

b)

$g\circ f\ =\ \frac{2+3x}{x+4}$

c)

$g\circ f\ =\ \frac{3x+2}{x-4}$

d)

$g\circ f\ =\ \frac{2-3x}{x+4}$

Composición de funciones

Total questions: 10

Worksheet time: 20mins

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