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uestion 1 ) let f; X = [1,27] be a function defined by f(x) = 5sinx +12cosx +14. find the set x so that set X so that f is both one one onto. ans:X = [-pi/2 - theta, pi/2 - theta] theta = tan-112/5 question 2) find all the linear funtions defined on R such that they map [-1,1] onto [0,2] and h; R -{-1,0,1} R defined by h(x) = f(x)/ g(x)
uestion 1 ) let f; X = [1,27] be a function defined by f(x) = 5sinx +12cosx +14. find the set x so that set X so that f is both one one onto.
ans:X = [-pi/2 - theta, pi/2 - theta] theta = tan-112/5
question 2) find all the linear funtions defined on R such that they map [-1,1] onto [0,2] and h; R -{-1,0,1} R defined by h(x) = f(x)/ g(x)
Hi Shiwani,
Hope that helps.
All the best.
Regards,
Ashwin (IIT Madras)
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