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Composición de funciones

Authored by José Francisco Salgado Rodríguez

Mathematics

10th Grade - University

Used 62+ times

Composición de funciones
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10 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 f(x)=6x2, g(x)=2x+53x4f\left(x\right)=6x-2,\ g\left(x\right)=\frac{2x+5}{3x-4}  Obtener  (fg)(x)\left(f\circ g\right)\left(x\right)  

 fg = 6x+383x4f\circ g\ =\ \frac{6x+38}{3x-4}  

 fg = 12x+263x4f\circ g\ =\ \frac{12x+26}{3x-4}  

 fg = 9x+223x4f\circ g\ =\ \frac{9x+22}{3x-4}  

 fg = 12x+13x4f\circ g\ =\ \frac{12x+1}{3x-4}  

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 f(x)=6x2, g(x)=2x+53x4f\left(x\right)=6x-2,\ g\left(x\right)=\frac{2x+5}{3x-4}  Obtener  (gf)(x)\left(g\circ f\right)\left(x\right)  

 gf = 12x+318x10g\circ f\ =\ \frac{12x+3}{18x-10}  

 gf = 12x318x6g\circ f\ =\ \frac{12x-3}{18x-6}  

 gf = 12x118x+6g\circ f\ =\ \frac{12x-1}{18x+6}  

 gf = 12x+118x10g\circ f\ =\ \frac{12x+1}{18x-10}  

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 f(x)=4x+1x3, g(x)=x+8f\left(x\right)=\frac{4x+1}{-x-3},\ g\left(x\right)=x+8  Obtener  (fg)(x)\left(f\circ g\right)\left(x\right)  

 fg = 4x33x11f\circ g\ =\ \frac{4x-33}{-x-11}  

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

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

 fg = 4x33x11f\circ g\ =\ \frac{4x-33}{x-11}  

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 f(x)=4x+1x3, g(x)=x+8f\left(x\right)=\frac{4x+1}{-x-3},\ g\left(x\right)=x+8  Obtener  (gf)(x)\left(g\circ f\right)\left(x\right)  

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

 gf = 4x+23x3g\circ f\ =\ \frac{-4x+23}{-x-3}  

 gf = 4x23x+3g\circ f\ =\ \frac{-4x-23}{-x+3}  

 gf = 4x23x3g\circ f\ =\ \frac{4x-23}{-x-3}  

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 f(x)=3x5, g(x)=x3+53f\left(x\right)=3x-5,\ g\left(x\right)=\frac{x}{3}+\frac{5}{3}  Obtener  (gf)(x)\left(g\circ f\right)\left(x\right)  

 gf = 5x3g\circ f\ =\ 5x-3  

 gf = 3x+5g\circ f\ =\ 3x+5  

 gf = xg\circ f\ =\ -x  

 gf = xg\circ f\ =\ x  

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 f(x)=12x1, g(x)=2x12x+1f\left(x\right)=\frac{1}{2x-1},\ g\left(x\right)=\frac{2x-1}{2x+1}  Obtener  (fg)(x)\left(f\circ g\right)\left(x\right)  

 fg = 2x12x+3f\circ g\ =\ \frac{2x-1}{2x+3}  

 fg = 2x+12x3f\circ g\ =\ \frac{2x+1}{2x-3}  

 fg = 2x12x3f\circ g\ =\ \frac{2x-1}{2x-3}  

 fg = 2x+12x+3f\circ g\ =\ \frac{2x+1}{2x+3}  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 f(x)=12x1, g(x)=2x12x+1f\left(x\right)=\frac{1}{2x-1},\ g\left(x\right)=\frac{2x-1}{2x+1}  Obtener  (gf)(x)\left(g\circ f\right)\left(x\right)  

 gf = 2x+32x+1g\circ f\ =\ \frac{-2x+3}{2x+1}  

 gf = 2x32x+1g\circ f\ =\ \frac{-2x-3}{2x+1}  

 gf = 2x32x+1g\circ f\ =\ \frac{2x-3}{2x+1}  

 gf = 2x+32x+1g\circ f\ =\ \frac{2x+3}{2x+1}  

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