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# finding the domain of a function

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H(u)= ^4 to the square root of u^2-4

https://brainmass.com/math/calculus-and-analysis/finding-domain-function-25126

## SOLUTION This solution is FREE courtesy of BrainMass!

Our function is h(u) = [U^2 - 4]^1/4
Please see the figure for the function.

Domain of a function is the set of values for which the expression is true.

Solving for u which makes the expression in the radical sign positive.

U^2 - 4 >= 0

U^2 >= 4

Values given to U must satisfy the above condition.
u=+- 2 will satisfy. u= +- 3 will satisfy. U = 1 will not satisfy. Also anyother value above 2 will satisfy the condition.

thus the domain is [-infinity,-2]U[-2,2]U[2,+infinity]

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