Respuesta :

mhanifa

Answer:

  • g(x) = x + 3

Step-by-step explanation:

Given

  • h(x) = (f ο g)(x)
  • h(x) = [tex]\sqrt{x+5}[/tex]
  • f(x) = [tex]\sqrt{x+2}[/tex]

To find

  • g(x)

Solution

We know that:

  • (f ο g)(x) = f(g(x))

Substitute x with g(x) and solve for g(x):

  • [tex]\sqrt{x+5}[/tex] = [tex]\sqrt{g(x)+2}[/tex]
  • x + 5 = g(x) + 2
  • x + 3 = g(x)
  • g(x) = x + 3