In Example we found that the inverse of was but we left a few loose ends for you to tie up.(a) Show that for all in the domain of and that for all in the domain of .(b) Find the range of by finding the domain of .(c) Let and . Show that and that . (We know this is true in general by Exercise 31 in Section 5.2. but it's nice to see a specifie example of the property.)

Which composition of similarity transformations maps polygon abcd to polygon a'b'c'd'? a dilation with a scale factor less than 1 and then a reflection a dilation with a scale factor less than 1 and then a translation a dilation with a scale factor greater than 1 and then a reflection a dilation with a scale factor greater than 1 and then a translation

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?

The sum of the squares of two numbers is 8 . the product of the two numbers is 4. find the numbers.