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September 15th, 2009, 04:01 PM  #1 
Newbie Joined: Sep 2009 Posts: 3 Thanks: 0  Domain and Range
hey guys I need help with this problem f(x) = 3  x+5 and the equation is under a square root. (the whole equation from 3 to x+5) a) What is the domain of f ? b) What is the range of f if the domain of f is (7, 3)? c) If the domain of f is {7, 3}. Give an example of a function g whose domain is also {7, 3} and equals the function f. 
September 15th, 2009, 07:15 PM  #2 
Senior Member Joined: Apr 2007 Posts: 2,140 Thanks: 0 
a) 3  x + 5 ? 0 ? x + 5 ? 3 ? 3 ? x + 5 ? 3 ? 3  5 ? (x + 5)  5 ? 3  5 ? ? Domain: [8, 2]. b) At domain (7, 3), the maximum value of f(x) is at when x = 5, so f(5) = ?(3). If there was a domain of [7, 3] for f(x), then the minimum value of f(x) at this domain is at when x = 7 or 3, so f(7) = f(3) = 1. But, the given domain in the problem is (7, 3). ? Range: (1, ?(3)]. 
September 15th, 2009, 08:32 PM  #3 
Newbie Joined: Sep 2009 Posts: 3 Thanks: 0  Re: Domain and Range
Thank you so much!!!!


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