Algebra help needed in Inverse functions: Problems type 3 and interval notation

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

The one-to-one function f is defined here:  f(x)=√2x-2

Find f⁻¹, the inverse of f.

Then give the domain of f⁻¹ using interval notation

Nov 1st, 2015

Thank you for the opportunity to help you with your question!

The answer :

we have :  f(x) = sqrt(2x - 2)

so to find the inverse of the function should put :  y = sqrt(2x - 2) 

so  :  y² = 2x - 2

so :   y² + 2 = 2x

so :  x = y²/2 + 1

so :  f^-1(x) = (1/2)y² + 1

the domain is :  IR

interval natation is :  Df^-1 = ]-infinity , 0] U [0 , +infinity[ 



Please if you don't understand something just ask i will answer you

I am glad to work with you just invite me each time you have any others question i will give you the best answers

GOod Luck


Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 1st, 2015

so I would write it like this:  f⁻¹(x)=1/2 and then the domain of f⁻¹=(⁻∞,0)(0,⁺∞) 

Nov 1st, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Nov 1st, 2015
...
Nov 1st, 2015
Jun 23rd, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer