4. a) Determine the equation of the inverse of the given function. State the domain and range.f(x) = -3 (x – ;)* +2.b) Is the inverse a function? CircleYesNoExplain. Graph the inverse of the given function on the same grid.

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Answered: 4. a) Determine the equation of the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Given the graph of two functions, determine whether the functions are inverses. A) the functions are inverses B) the functions are NOT inverses 17. 18. -4 -4- -8 -2 6. -6 -8 19. 20. 6 4 2 -8 -6 -4 -2 -4 -4 -8 6.
Explain why variable y is always in its first degree form for it to be considered a function. Cite examples.
Body surface area is an important piece of medical information because it is a factor in temperature regulation as well as some drug level determinations. The Mosteller formulat gives one way of estimating body surface area 8 in square meters. The formula uses the weight w in kilograms and the height h in centimeters. The relation is Vhw 60 In this exercise we consider people who are 190 centimeters tall. (a) Write a formula for 8 as a function of w. (b) Make a graph of 8 versus w. Include weights up to 100 kilograms. 3.0 3.0r 25 25 20 20 15 15 1.0 1.0 05 0.5 00 w 00 20 40 60 80 100 20 40 60 80 100 3.0. 3.0 25 25 20 20 1.5 15 1.0 1.0 05 05 w 100 0.0 20 10 60 80 20 10 60 80 100 (c) Is the graph you made in part (b) concave up or concave down? O concave up O concave down (d) In this part we consider the effect of weight gain on men who are 190 centimeters tall. Would the weight gain have a greater effect on surface area for a lighter man or for a he avier man? O lighter man O heavier man
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2. Summarize what you have learned about functions. Can all relationships between variables qualify as functions? How can you represent and describe functions? How are functions useful in the real world?
Find the inverse and identify the domain and range of the original function. Number 2 and 3 only. Thank youu
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6. Give definition of a function. Determine the function defined by equation below, give its domain and range. sketch its graph. Does this function have an inverse function? Define the inverse function and specify its domain and range. (x-X)² + (y + y)² - 16 = 0.

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4. a) Determine the equation of the inverse of the given function. State the domain and range. f(x) = -3 (x - )´ + 2 b) Is the inverse a function? Circle Yes No Explain.