Question 48545: Please help me work out this problem.
For the function defined by f(x)=2-x^2, 0<=x, use a sketch to help find a formula for f^-1(x).
My possible answers to choose from are:
a. f^-1(x)=x^2-2, x<=2
b. f^-1(x)=1/2-x^2, 0<=x
c. f^-1(x)=sqrt2+sqrtx, 0<=x
d. f^-1(x)=sqrt 2-x, 0<=2
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<=x, use a sketch to help find a formula for f^-1(x).
My possible answers to choose from are:
a. f^-1(x)=x^2-2, x<=2
b. f^-1(x)=1/2-x^2, 0<=x
c. f^-1(x)=sqrt2+sqrtx, 0<=x
d. f^-1(x)=sqrt 2-x, 0<=2
Given function Y=2-x^2, 0<=x
Find the inverse:
x=2-y^2
y^2=2-x
y=sqrt(2-x), x<=2
This is the inverse.
Cheers,
Stan H.
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