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

__

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)

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°