Kindly solve this discrete math question correctly. Please must include diagram 0:2349l l O 36%1. Give an example of a function that is one-to-one but not onto.Give an example of a function that is not one-to-one but onto.2. Why is (f •g)-1 = g-1 .f-1? Explain your answer, showmathematical reasoning. (You MUST include a diagram)

We have to give an example such function.

Answered: 1. Give an example of a function that…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter10: Radical Functions And Equations

Section: Chapter Questions

Problem 9CR

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The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is the temperature of the food. When the food is removed from the refrigerator, the temperature is given by T(t)=5t+1.5 , where t is the time in hours. a. Find the composite function N(T(t)) . b. Find the time (round to two decimal places) when the bacteria count reaches 6,752.
The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.
Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.
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1. Give an example of a function that is one-to-one but not onto. Give an example of a function that is not one-to-one but onto. 2. Why is (f •g)-' = g-1 .f-1? Explain your answer, show mathematical reasoning. (You MUST include a diagram)