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))

Step-by-step explanation:

A. g(x) is given:

  g(x) = x^2 +2

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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)

it would rotate about 180 degrees.