SOLUTION: What are the domain and range of the inverse of copy & paste link to see the rest of the question please, (hard for me to type it with the symbols on it). http://prntscr.co

Algebra ->  Functions -> SOLUTION: What are the domain and range of the inverse of copy & paste link to see the rest of the question please, (hard for me to type it with the symbols on it). http://prntscr.co      Log On


   

Question 1000687: What are the domain and range of the inverse of
copy & paste link to see the rest of the question please, (hard for me to type it with the symbols on it).
http://prntscr.com/8y82w5
Thank you.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

to find inverse of y=sqrt%281%2F%28x-2%29%29, swap x and y
x=sqrt%281%2F%28y-2%29%29.....solve for y
x%5E2=%28sqrt%281%2F%28y-2%29%29%29%5E2
x%5E2=1%2F%28y-2%29
x%5E2%28y-2%29=1
y-2=1%2Fx%5E2
y=1%2Fx%5E2%2B2
y+=+%282x%5E2%2B1%29%2Fx%5E2
so, inverse is y%5E-1=+%282x%5E2%2B1%29%2Fx%5E2
domain:
{ x element R: x%3C%3E0 }
range:
{ y element R : y%3E2 }