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Posted

What are the steps not shown in this solution? We are missing something. Can anyone explain this to us? Please help!

Evaluate the function at the given value(s) of the independent variable. Simplify the results.

Calculus9thP.3.thumb.png.8f39528dc38dfd5e4f04b0b04f8e0a6f.png

Posted

Sorry it is sideways. My answer is a simplified a bit differently but hopefully you can catch whatever you were confused about in the middle steps?

signal-2020-09-17-095601.jpg

Posted (edited)

Speaking of which, @square_25, why did they multiply by 1 +(x-1)^(1/2) over 1+(x-1)^(1/2)? I would probably have simplified at that point by trying to get rid of the square root in the denominator.

Edited by RootAnn
Fixed a sign
Posted

I don't really see where getting rid of the x-2 in the denominator is any better than getting rid of the square root there. That's why I asked. If it ended up looking any better at the end, I'd understand. I feel like:

(X-1)^(1/2) - x - 1

------------------

(x-2)(x-1)

Seems just as decent an answer. :) But, I guess that would mean x couldn't equal 2 or 1 whereas with thetirs, x just can't equal 2.

Speaking of which, I find it humorous how they plug 2 in for x in the original function but in their equation, x cannot equal 2. ;)

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