Determine the largest possible domain and inverse function, Mathematics

Assignment Help:

Consider the function

f(x) =1/2 (2x +2-x)

which has the graph

677_graph.png

(a) Explain why f has no inverse function. You should include an example to support your explanation.

(b) Determine the largest possible domain, which includes x = 1, for f(x) such that the inverse function f-1(x) does exist.

(c) Given your answers in (b) find the inverse function f-1(x). Clearly explain key steps and show all working.

(d) Sketch the graph of y = f(x) for the restricted domain in (b) and y = f-1(x) on the same set of axes. All points of intersection and axes-intercepts should be easily determined from your sketch or clearly labelled. Furthermore axes should be clearly labelled with appropriate scaling. It is suggested you use different colours for the two graphs and clearly label each graph.


Related Discussions:- Determine the largest possible domain and inverse function

5, what is a variable

what is a variable

Solving equations and/or word problems for the unknowns, With their fence i...

With their fence in place, Zack and Clint set to work landscaping yards. Since Clint did the majority of the actual landscaping and planting, he worked on the average more hours t

How does the algorithm work?, How Does The Algorithm Work? Most of us, ...

How Does The Algorithm Work? Most of us, when asked to multiply, say, 35 by 23, write Why do we place the mark x (or 0, or leave a blank) in the second row of the calcul

Word problem time vs desent, altitude 35000 @ 9:30 9;42 alt 17500 increase...

altitude 35000 @ 9:30 9;42 alt 17500 increase speed by factor of 3 level out at 2500= how much time will it take

Fractions, What fraction could you add to 4/7 to get a sum greater than 1

What fraction could you add to 4/7 to get a sum greater than 1

Algebra, how do you work out algebra

how do you work out algebra

Lorie, A bourbon that is 51 proof is 25.5% alcohol by volume while one that...

A bourbon that is 51 proof is 25.5% alcohol by volume while one that is 82 proof is 41% alcohol. How many liters of 51 proof bourbon must be mixed with 1.0 liter of 82 proof bourbo

Powerball odds., I need to know how to get the power ball odds. the first o...

I need to know how to get the power ball odds. the first one 5 out of 59 plus 1 out of 35 I got .I did combination formula and it came out right. how do you get 5 out 0f 59 and get

Statewide mortality rates, Assume that between workers exposed to asbestos ...

Assume that between workers exposed to asbestos in a shipyard in 1980, 33 died over a 10 year period from COPD, whereas only 24 such deaths would be expected based on statewide mor

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd