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March 28, 2017

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How would I go about finding the domain and range of 3cos(3x+π) = 4? Thanks

  • Precalculus - ,

    You have given me an equation, not a function

    The concept of domain and range applies to functions

    was your function
    f(x) = 3cos(3x+π) - 4 ?
    if so , the domain is any real number
    the range is -1 to -7

    were you looking for a solution to your equation?
    cos(3x+π) = 4/3
    BUT, the cosine of anything lies between -1 and 1
    so your equation has no solution.

  • Precalculus - ,

    The question(s) were as follows:
    Given: f(x) = 3cos(3x+π) - 4 (as you thought)
    Find:
    a) the inverse of F(x)
    b) the domain and range of F(x)
    c) the domain and range of F -1(x)
    I got cos-1[(x-4)/9] - π =y for the inverse, although I'm not sure I did the problem right (I set x to y and y to x and then solved for y).

    For cos(3x+π) = 4/3, don't I have to finish solving cos(3x+π) before I decide that there is no solution? I have been doing these and other problems for so long today that I am gettin more confused - not less, lol! Thanks for your help.

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