If f(x) = 2x + 3 and g(x) = 3x +2 find f(g(f(2)))/g(f(g(2))). Express your answer in the form a/b.
+1223 numerator = f(g(f(2)))
= f(g(2 * 2 + 3))
= f(g(7))
= f(3 * 7 + 2)
= f(23) = 2 * 23 + 3 = 49
denominator = g(f(g(2)))
= g(f(3 * 2 + 2))
= g(f(8))
= g(2 * 8 + 3)
= g(19) = 3 * 19 + 2 = 59
The answer is 49/59.
