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Hello. Can someon help me understand the difference between these two problems?

#1: f(x)+3

#2: f(x+3)

The reason I want to know if becuase my question tells me to use the domain of f(x) as [4, 8] and the range as [2, 6]

Then it wants to know the domain and range of both of those problems.

My first question here is that I got [1, 5] as the domain, but I don't know if that pertains to the first or second problem. If it pertains to either of them, how do I do the other problem? Also, how do I find the range of both of these problems? Would it be [-1, 3] and again, for the first or second problem? I'm guessing both of my answers would go with the first, but yet again, I am not sure.[/quote]

How did you "get" [1, 5] as domain and [-1, 3] as range without know which problem you were working on? In #1, you must calculate f(x) and then add 3. You are told that you can only calculate f(x) for x in [4, 8] so the domain should be obvious. If f(x) gives values between 2 and 6 what values are f(x)+ 3?

If f(u) can be calculated for u in [4, 8] and u= x+ 3, what can x be? Which problem is that for? Well, thedomainapplies to the valueinsideparentheses in f() so which has x+3insidethe parentheses? Anything that is inside the parentheses- before you calculate f- affects the domain, anything outside affects the range.

If your knowledge allows you, can you asist me in this problem? I keep looking at it and just can't seem to figure it out. Please help.

Thanks in advance -Name_ask17

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# Homework Help: Domain range intervals; please help if you can

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