Mathematics, 25.02.2020 05:55 gebradshaw2005
State whether each of the following functions f have a well-defined inverse or not. Recall that a function has an inverse if, for every element in the codomain, there exists exactly one element in the domain that maps to it; that is, the function is onto (surjective) and one-to-one (injective). If it does, provide the inverse function f −1 . If it does not, explain if it violates the onto condition, one-on-one condition, or both, and justify your response. (a) f : R → R, f(x) = 3x−12 (b) f : R → R, f(x) = x 2 +1 (c) f : R → R, f(x) = 3x 3 −12x (d) f : R + → R +, f(x) = √ x+1, where R + denotes the positive reals
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Suppose a store sells an average of 80 cases of soda per day. assume that each case contains 24 cans of soda and that the store is open 10 hours per day. find the average number of soda that the store sells per hour.
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An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.
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From the top of a tree a bird looks down on a field mouse at an angle of depression of 50°. if the field mouse is 40 meters from the base of the tree, find the vertical distance from the ground to the bird's eyes.
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State whether each of the following functions f have a well-defined inverse or not. Recall that a fu...
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