(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

g(x)=(In(x-5)/In(x-5))+sqrt(10-x). Find Dom(f) and Range(f).

and sqrt(10-x) is decreasing.

3. The attempt at a solution

x-5=0

x=5.

10-x>=0

10>=x.

so The dom(f), I think, is (-infinity,5)U(5,10].

now the range, the equation should look like this after cancelling.

1+sqrt(10-x).

Is it right that I just plug in x values like:10,5,....

and I tried to plug in some and I got this

(1,1+sqrt(5))U(1+sqrt(5),infinity).

Is that right? Or am I missing something?

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# Homework Help: Dom(f) and Range(f)

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