SOLUTION: Hi, I'm having trouble understanding and solving this problem: f(x)= x^2 + 9 is shown. Which interval of x restricts the domain of f(x) such that f^-1(x) exists?

Question 1029938: Hi, I'm having trouble understanding and solving this problem:
f(x)= x^2 + 9 is shown.
Which interval of x restricts the domain of f(x) such that f^-1(x) exists?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
f(x)= x^2 + 9 is shown.
Which interval of x restricts the domain of f(x) such that f^-1(x) exists?
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y = x^2 + 9 is a parabola symmetric to the y-axis.
It's inverse would be a parabola symmetric to the x-axis
and that is not a function.
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But it's inverse would be a function if you restrict
x to [0,+oo) for f(x).
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Cheers,
Stan H.
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