Explore BrainMass

Explore BrainMass

    finding the domain of a function

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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

    © BrainMass Inc. brainmass.com December 24, 2021, 5:03 pm ad1c9bdddf
    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]

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 5:03 pm ad1c9bdddf>
    https://brainmass.com/math/calculus-and-analysis/finding-domain-function-25126

    Attachments

    ADVERTISEMENT