Explore BrainMass

Explore BrainMass

    Continuous Functions

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

    4. Let f(x) = g(x)/h(x), where g and h are continuous functions on the open interval (a,b). Which of the following statements is true for a < x < b?
    A. f is continuous at all x for which x is not zero.
    B. f is continuous at all x for which g(x) = 0.
    C. f is continuous at all x for which g(x) is not equal to zero.
    D. f is continuous at all x for which h(x) is not equal to zero.
    E. f is possibly discontinuous even though h(x) is not equal to zero.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:10 pm ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/continuous-functions-investigated-32642

    Attachments

    Solution Preview

    Please see the attached file for the complete solution.
    Thanks for using BrainMass.

    4. Let f(x) = g(x)/h(x), where g and h are continuous functions ...

    Solution Summary

    Continuous Functions are investigated. The possibility of discontinuous functions are determined.

    $2.49

    ADVERTISEMENT