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Question 278812: How do you solve:
What is the domain and range of f(x) = (x-5)^2 - 3?
Thank you!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! How do you solve:
What is the domain and range of f(x) = (x-5)^2 - 3?
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Domain: x can have any value so the domain is All Real Numbers or (-inf,+inf).
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Range:
The lowest value (x-5)^2 can have is zero; that occurs when x = 5.
When you subtract 3 the lowest value y can have is -3.
So the Range is "All Real Numbers >= -3" or [-3,inf).
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Cheers,
Stan H.
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