finding the domain of a function
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H(u)= ^4 to the square root of u^2-4
© BrainMass Inc. brainmass.com December 24, 2021, 5:03 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/finding-domain-function-25126
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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]
© BrainMass Inc. brainmass.com December 24, 2021, 5:03 pm ad1c9bdddf>https://brainmass.com/math/calculus-and-analysis/finding-domain-function-25126
