36 Replies
,rotate
@Apu
Note for OP
+solved @user to close the thread when your doubt is solved. Mention the user who helped you solve the doubt. This will be added to their stats.Either you can make inverse function by interchanging x and y or just draw the graph of f(x) and take its mirror image about y=x to get f^-1(x) from graph you can easily solve it
Bhai i need solution😭😭
iteachchem
Transcription requested by Aman | Jee 25
उसके लेगे you can look it up online bro this person is helping you, telling you how to make the effort Try to करो Question लिखके solution ढून हा tum को कही बहुँ रहा है This server is for you to figure things out
@prodbyskie find f inverse for these 2 branches and solve for common branches for both f(x) and f-1(x).
try this or the graph wala method someone told earlier.
Both are equally good.
Bhai, am facing issues in finding the common domains, Thats the reason behind me prioritising the need for a written solution
Fine, i’ll share the way i solved, kindly point out my inaccuracies
iteachchem
Transcription requested by prodbyskie
Zaroor zaroor zaroor share kariye. I try my best but I'm not a maths guy but I'm pretty sure people will help you out. And what about inaccuracies? Aap aapna method share kariye then people will be able to you know maybe can look at a better way of solving it. If you are unable to do it then for whatever reason, that's the reason for asking.
For the inverse function, your range is given
so from that, find the domain for each
for example
For f(x) = 1-x we have f^-1(x) = 1-x too
In the first case the domain is x<1
here the range is f^-1(x) <1
Is the solution correct?
,rotate
arre whats this bot pehle msg pe reply Kia toh ye dusre ko rotate karha hai 😔
,rotate
@@Ameya² here
Yo you good @prodbyskie ?
Heyo
I’ll wait patiently for the judgment
oh what sidd says does not work?
he gave an input and so did rock
Couldn’t get it bro, wdym?
this ^
I didn't give an input, ameya was having trouble rotating the image so I rotated it for him/her
lmao sorry my bad
……
I very humbly want to ask about when will my doubt be resolved
For the time being i’ll post my other doubt
Did you try finding the domain of the inverse function in both cases?
yoo
you have done an elementary mistake for (2) branch of f(x)
your last step:
y=1±√x while x≤0
root isn't defined for x≤0
the last 3 steps are where everything went wrong
also for finding inverse first try to get x as a function of y first and then take the inverse i.e x→y, y→x
example:
y=2x+3
2x = y-3
x=(y-3)/2
x→y, y→x:
f-1(x)=y=(x-3)/2
makes stuff easy for complicated functions and you won't face domain related issues either
also for 2nd branch of f(x) for your ques,
y = -(x-1)²
-y=(x-1)²
x-1=√-y
x=1+√-y
y->x, x->y
f-1(x)=y= 1+√-x
Thanks a lot bro, let me analyse it
+solved @@Ameya² @Comrade Rock Astley
Post locked and archived successfully!
Archived by
<@1035556259417571408> (1035556259417571408)
Time
<t:1718989971:R>
Solved by
<@524251839714295858> (524251839714295858), <@769492044837552139> (769492044837552139)