SOLUTION: state the inverse of: {{{f(x)=x^2}}} for x is less than or equal to 0 please show work. i know the answer is {{{f^-1=-sqrt(x)}}} thank you thank you thank you!

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: state the inverse of: {{{f(x)=x^2}}} for x is less than or equal to 0 please show work. i know the answer is {{{f^-1=-sqrt(x)}}} thank you thank you thank you!      Log On

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Question 186306: state the inverse of:
f%28x%29=x%5E2 for x is less than or equal to 0
please show work. i know the answer is f%5E-1=-sqrt%28x%29
thank you thank you thank you!
Answer by stanbon(48558) About Me  (Show Source):
You can put this solution on YOUR website!
state the inverse of:
f%28x%29=x%5E2 for x is less than or equal to 0
--------------------------------
y = x^2 , x <= 0
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Interchange x and y to get:
x = y^2
-----------------------
Solve for "Y":
y = -sqrt(x) and x > = 0
----------------------------
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-x%5E%281%2F2%29%29
========================================
Cheers,
Stan H.