SOLUTION: I need some serious help. I need to know how to solve some equations. I have a test coming up and I am STUCK! For the function defined by f(x) =2-x^2, 0 (greater than,or equalto

Question 72950: I need some serious help. I need to know how to solve some equations. I have a test coming up and I am STUCK!
For the function defined by f(x) =2-x^2, 0 (greater than,or equalto) x, use a sketch to help find formula for f-1(x).
Someone please show me how to do this.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
For the function defined by f(x) =2-x^2, 0 (greater than,or equalto) x, use a sketch to help find formula for f-1(x).
----------------
Your f(x) is the right half of a parabola with vertex at (0,2) and opening
downward.
Draw the line y=x on the same coordinate axes.
Now, "reflect" the curve in the line y=x.
Each point (a,b) in the original curve will become (b,a) in the new curve.
(0,2) has as its reflection the point (2,0).
Do this for all the points of the curve to get a sketch of f^-1(x), which
is the inverse of f(x)
---------

This is the graph of f(x); I can't show you f^-1(x).
=========
Cheers,
Stan H.
RELATED QUESTIONS
What is the main thing I need to remember when I am solving equation problems. I have a... (answered by jim_thompson5910)

I have a HUGE test coming up and I need some help. How do you graph the inequality 2x +... (answered by jim_thompson5910)

I need some help on how to solve simultanous... (answered by rapaljer)

A chemist wishes to mix some pure acid with a 10% solution to obtain 60 liters of a 20%... (answered by Mathtut)

I have a test tommorow, I need some help with some of the problems im not sure about how... (answered by Earlsdon)

Hello I need some help with my math homework. I have to factor this polynomial... (answered by jim_thompson5910)

I have a huge test coming up. I need some clarity. how would you rewrite the equation... (answered by jim_thompson5910)

I don't quite understand proofs. I need serious help because I have a geometry test... (answered by stanbon)

Hello all Yes I am back in an algebra class and I need some serious help again. I would... (answered by stanbon)