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What is the domain of the function

+2 votes

f(x)=√(x²-100)?

asked Feb 21, 2013 in ALGEBRA 1 by angel12 Scholar

1 Answer

+2 votes

f(x) = √(x2 - 100)

Forbidden values: √(x2 - 100) = 0

Take square each side.

x2 - 100 = 0.

Add 100 to each side.

x2 = 100

Take square root each side.

x = √100 = ± 10

Domain = ℛ \ { -10 ; 10 }.

answered Feb 21, 2013 by richardson Scholar

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