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Need help with two pre-calc questions on domain and range and g of f question?

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  • Need help with two pre-calc questions on domain and range and g of f question?


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Answer #1 | 05/01 2014 13:06
This is the way I think of it. On number 6, you have to do f(x) FIRST since it's closest to the x. Then, when you have that value, you go back and put it into g(x) because it's further away. Since you have no x value, you simply plug f(x) into g(x), so (f(x))^2. Then, you have to simplify. So what you have is right. Your teacher may just let you leave it like that. If not, you have to distribute the square. On the next question, you have to determine how far down it goes along the y-axis and how far up it goes along the y-axis for the range. Since there is a horizontal asymptote at 0, the function never hits 0, therefore, the low end of the range is 0. Since it continues up the y-axis forever, the high end is infinity. So it's (0, infinity). Also, you have the domain wrong. Think about this. Does the function ever touch the number 0? You have it included, so rethink that answer. :)
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