SOLUTION: The inverse of the function y = 9 - x^2, for all values x ≥ 3, is _____, where x can take values _____. Show your work

Algebra ->  Rational-functions -> SOLUTION: The inverse of the function y = 9 - x^2, for all values x ≥ 3, is _____, where x can take values _____. Show your work       Log On


   



Question 978463: The inverse of the function y = 9 - x^2, for all values x ≥ 3, is _____, where x can take values _____.
Show your work

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y+=+9+-+x%5E2...to find the inverse, swap x and y
x+=+9+-y%5E2.....solve for y
y%5E2+=+9+-x
y+=+sqrt%289+-x%29=>the inverse
so, the inverse of the function y+=+9+-x%5E2, for all values x+%3E=+3
is y+=+sqrt%289+-x%29, where x can take values x%3C=9
(assuming a function from reals to reals)