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Math Help - How do I find domain and range of a function? G(x)=(x+5)^2-6

  1. #1
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    How do I find domain and range of a function? G(x)=(x+5)^2-6

    G(x)=(x+5)^2-6

    How exactly do I find out which answer is correct? I would appreciate if I told on how I go about finding the right answer.

    a. Domain = all real numbers; Range = all real numbers greater than or equal to 6.

    b. Domain = all real numbers greater than -5; Range = all real numbers less than -6.

    c. Domain = all real numbers; Range = all real numbers greater than or equal to -6.

    d. Domain = all real numbers; Range = all real numbers.
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  2. #2
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    I think this is the correct answer.

    Quote Originally Posted by eliteplague View Post


    c. Domain = all real numbers; Range = all real numbers greater than or equal to -6.
    x can be all real values as there are no square roots or a chance to create zero divisors.

    y can only be -6 or bigger. Any x-value choosen will be come positive or zero given the squared function. From this point the most minimum will be at -6 past zero. You should plot this function to confirm.
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