Tarea 5

Funcion composición

f(x)= 2-x² g(x)=x+4 h(x)=√x

1. gog
   (gog)(x)= (x+4)+4
   = x+8
   
   
2. hofo3g
   (hof)(x)= √2-x²
   (fo3g)(x)= √2-(3x+12)²
   = √2-(9x²+72x+144)
   = √2-9x²-72x-144
   = √-9x²-72x-142
   
   
3. hog
   (hog)(x)= √x+4
   
   
4. 2goh
   (2goh)(x)= 2√x+8

Tareas

Tarea 3

Tarea 4

• Determinar la suma, resta, producto y cociente
  
  
  1. f(x)= 3x²
     g(x)= 1/2x-3
     
     (f+g)(x)= 3x²+1/2x-3
     (f-g)(x)= 3x²-1/2x-3
     (f·g)(x)= (3x²)(1/2x-3)
     (f/g)(x)= (3x²)/(1/2x-3)
     = 6x³-9x²
     
     
     
  2. f(x)= x+1/x
     g(x)= x-1/x
     
     (f+g)(x)= (x+1/x)+(x-1/x)
     = 2x
     (f-g)(x)= (x+1/x)-(x-1/x)
     = x+1/x -x+1/x
     = 2(1/x)
     (f·g)(x)= (x+1/x)(x-1/x)
     = x²-1+1-1/x²
     = x²-1/x²
     (f/g)(x)= (x+1/x)/(x+1/x)
     = (x²+1/x)/(x²-1/x)
     = (x³+x)/(x³-x)