4. For f(x) = 1/x-5
and g(x)= x2 + 2, find:
Part I:
A. Find the expression for g(x). (2 points)
B. Substitute the value of g(x) into the function f(x) in place of x to find the value of f(g(x))

Respuesta :

Answer:

  • g(x) = x^2 +2
  • f(g(x)) = 1/(x^2 -3)

Step-by-step explanation:

A. g(x) is given:

  g(x) = x^2 +2

__

B. f(g(x)) = f(x^2 +2) = 1/((x^2 +2) -5) . . . . substitute for g(x) and simplify

  f(g(x)) = 1/(x^2 -3)