Need help with a question in the screenshot below plz :3 It is question #4

Question

anonymous · Answer

attachment

anonymous · Answer

i feel derpy when i saw this .-.

anonymous · Answer

@texaschic101

ness9630 · Answer

Well you know how to find an inverse right?

anonymous · Answer

Not exactly!

amistre64 · Answer

you want to use half of the parabola as the domain ....

amistre64 · Answer

the inverse is essentially solving the setup for x, so get x all by itself

anonymous · Answer

okay, move the 5 over so you get y-5 = (x-1)^2
Then square root both sides:    sqrt(y-5) = x-1
Finally move the 1 across:   sqrt(y-5) + 1 = x
Now swap out the x and y to get the form:
f(x)^-1 = sqrt(x-5)+1.    
  Now, you cannot get a real number answer when taking the square root of a negative number...

anonymous · Answer

Sooooooo.....   look at the answers...   if x=1,  will you have a real number for sqrt(x-5)?  what about  when x=5?