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)

Question

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)

Ashwin Muralidharan IIT Madras · Answer

Hi Shiwani, Hope that helps. All the best. Regards, Ashwin (IIT Madras)

1 Answers