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# Is there a difference if we plug in any number numerically into:

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Is there a difference if we plug in any number numerically into:

$$f(x) = \sqrt{x+1/x-1}$$

and

$$g(x) = \sqrt{x+1}/\sqrt{x-1}$$

If so, give a number.

Guest Mar 14, 2017

#2
+7348
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$$f(x) = \sqrt{x+1/x-1}$$      $$\large=\sqrt{x+\frac{1}{x}-1}$$

$$g(x) = \sqrt{x+1}/\sqrt{x-1}$$    $$\large=\sqrt{\frac{x+1}{x-1}}$$

!

asinus  Mar 14, 2017
#1
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hectictar  Mar 14, 2017
#2
+7348
+5

$$f(x) = \sqrt{x+1/x-1}$$      $$\large=\sqrt{x+\frac{1}{x}-1}$$

$$g(x) = \sqrt{x+1}/\sqrt{x-1}$$    $$\large=\sqrt{\frac{x+1}{x-1}}$$

!

asinus  Mar 14, 2017
#3
+7153
+1

You're not wrong! People need to put their parenthesees if they mean them. Parenthesees are really good!

Except apparently the last 2 things aren't really equal in all cases. I wasn't aware of that until now.

hectictar  Mar 14, 2017
#4
+92768
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Alan, I have put a question on the original post.  Could you take a look please :)

http://web2.0calc.com/questions/help-plz_10999

Melody  Mar 14, 2017