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Math Help - Find the domain and range of f(x) and inverse function.

  1. #1
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    Find the domain and range of f(x) and inverse function.

    So I've been trying to solve these problems for the past 2 hours and I don't know if I'm doing them right so I need some help from the experts here to tell me if I'm doing them right. Could you guys please help me out?

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  2. #2
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    Re: Find the domain and range of f(x) and inverse function.

    Quote Originally Posted by calculus123 View Post
    So I've been trying to solve these problems for the past 2 hours and I don't know if I'm doing them right so I need some help from the experts here to tell me if I'm doing them right. Could you guys please help me out?

    I agree with 4.a) as it definitely looks like the function's domain and range are defined for all the reals, so therefore must be its inverse. I also agree with 4.b), inverse functions are reflected about the line y = x. As for part c), you should know that multiplying the function by 3 will result is a dilation of the function (a vertical stretch of factor 3) and subtracting 1 will then move the function down one unit.

    I agree with your answers to 5. Well done
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  3. #3
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    Re: Find the domain and range of f(x) and inverse function.

    Hi,

    When you say you agree with 4(a), do you agree that the answer is wrong or correct? I asked my professor today in class he said it was correct so I just want to make sure. For 4(c), is this correct? I would give y some values to find x, right?


    Thanks for your help sir!
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