A community for students.
Here's the question you clicked on:
 0 viewing

This Question is Closed

akitav
 2 years ago
Best ResponseYou've already chosen the best response.0made a stupid error, just a sec.

mukushla
 2 years ago
Best ResponseYou've already chosen the best response.0yeah range is limited...i dont how to evaluate the exact interval for range :(

akitav
 2 years ago
Best ResponseYou've already chosen the best response.0Can you plot the two parts of the function? then combine them.dw:1347772792991:dw For analyzing the final result : If it's a diagonal line then yes both will go from infinity to +infinity, IF HOWEVER it is a VERTICAL or HORIZONTAL line then your domain or range will be limited.

mukushla
 2 years ago
Best ResponseYou've already chosen the best response.0i want to show it algebrically if its possible !!

artofspeed
 2 years ago
Best ResponseYou've already chosen the best response.0idea: seperate f(x) into 2 functions, find the domain of the inverse of each one of the function, find the intersection of the 2 domains, that gives the range of f(x)

nipunmalhotra93
 2 years ago
Best ResponseYou've already chosen the best response.1Range is ]0,2]. f(x) is symmetrical about x=2. I evaluated the first and second derivatives. for x<1<2 f'(x)>0 and f''(x)>0 for x<1, f'(x)>0 and f''(x)<0. behavior on other side of 2 is symmetrical. Also, evaluating the limit at infinity, we get 0. So the graph would be something like this.dw:1347780606499:dw That's it. Correct me if I'm wrong.

nipunmalhotra93
 2 years ago
Best ResponseYou've already chosen the best response.1Another small test is that f(x) can't be <0 because solving it gives 1<3 which is a contradiction.

harsh314
 2 years ago
Best ResponseYou've already chosen the best response.0the range of f(x) is ( 0,2]

harsh314
 2 years ago
Best ResponseYou've already chosen the best response.0to show it algebrically you need to assume \[\sqrt[3]{x1}= \alpha\] \[\sqrt[3]{3x}= \beta\] and after that you can obtain the required equations

harsh314
 2 years ago
Best ResponseYou've already chosen the best response.0as \[f(x)=y=\alpha +\beta\] so find out x in form of y and you would get the answer if you want more detailed solution then i can provide you that too
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.