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Domain...2

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RTCNTC

Banned
Jan 31, 2017
1,358
Find the domain. Can someone get me started?

sDraw_2018-03-20_01-48-33.png
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,735
No factor in the denominator can be zero, and nothing under a square root radical can be negative...so this leads to:

\(\displaystyle t-1\ne0\)

\(\displaystyle 0<t\)

What do you get when you superimpose the two restrictions?
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,735
To follow up, we get:

\(\displaystyle (0,1)\,\cup\,(1,\infty)\)