Let A be the closed interval [1, 2]. Find f(A). Let A be the interval (-1, 2). F

Question

Let A be the closed interval [1, 2]. Find f(A). Let A be the interval (-1, 2). Find f(A). Let B be the open interval (-1, 3). Find f-1(B). Let B be the open interval (1, 3). Find f-1(B). Let B be the open interval (0, 3). Find f-1(B). Let B be the closed interval [0,3], Find f-1(B). Let f:R rightarrow R be defined by f (x) = cos x. Let A be the open interval (0, pi/2). Find f(A). Let B be the closed interval [-1, 0]. Find f-1(B) Proofs About How Functions Act on In this section we will look at the probable results of the

Explanation / Answer

In the open interval (0,pi/2) ...f(x) =cos(x). takes all values between 0 to 1 both excluded...hence f(A)=(0,1).....B=[-1,0]...then f^-1(B) = [-pi/2,0]...feel free to ask doubts please rate and reward.. :)

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