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 th

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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 Th 1 (46.4 KiB) Viewed 15 times

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).