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Deepak Patra posted an Question
November 15, 2021 • 22:59 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
Let fbe a continuous function from 0,4 to [3,9. then 20. (a.) there must be an x such that f(x)==4 that (b.) there must be 3f(x)=2x+6 an xsuch that (c.) there m
Let fbe a continuous function from 0,4 to [3,9. Then 20. (a.) There must be an x such that f(x)==4 that (b.) There must be 3f(x)=2x+6 an xsuch that (c.) There must be 2f(x)=3xr+6 an r Such (d.) There must be an x such that fx)=x
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Kanika goswami 1![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.