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Deepak Patra posted an Question
January 26, 2022 • 02:33 am
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30 points
30 points
- IIT JAM
- Mathematics (MA)
Q.35 let f be a continuous function from [0,4 to (3,6] then (a) there must be a z such that f(z) = 4 (b) there must be a z such that 3f(z) = 2x +6 (c) there mus
Q.35 Let f be a continuous function from [0,4 to (3,6] Then (a) There must be a z such that f(z) = 4 (b) There must be a z such that 3f(z) = 2x +6 (c) There must be a z such that 2f(r) = 2z +6 (d) There must be a z such that f(r) = z
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Anonymous User![best-answer]()
A continuous function f:[a,b]→[c,d] must intersect the line joining (a,c) and (b,d)", so here the line joining the points (0,3) and (4,9)is given by y=f(x)=3x+6/2⟹2f(x)=3x+6.