Answer Happy

Question 8 Let f [a, b] → [0, 1] and g : [a, b] → [0, 1], with both f and g continuous. Assume that R (f) ≤ R (g) and that R (g) = [0, 1]. (Here R (f) is the range of f, etc.). Prove that there exists c € [a, b] such that ƒ (c) = g (c).