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# What is the smallest integer that is not in the domain of f(x)=sqrt( pi - x) ?

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What is the smallest integer that is not in the domain of f(x)=sqrt( pi - x) ?

Guest Apr 18, 2015

### Best Answer

#1
+26753
+10

You can't take the square root of a negative value (not while dealing with real numbers, anyway), so what is the first integer bigger than pi?

Here's a picture to help:

.

Alan  Apr 18, 2015
#1
+26753
+10
Best Answer

You can't take the square root of a negative value (not while dealing with real numbers, anyway), so what is the first integer bigger than pi?

Here's a picture to help:

.

Alan  Apr 18, 2015
#2
+92805
+5

f(x)=sqrt( pi - x)

Smallest integer that is NOT in the domain.

Well all negative values of x will be in the domain because there will be a sqrt value for all of those.

the ones that won't be in the domain are those where

$$\\\pi-x<0\\ \pi x>pi$$

So like Alan said, what is the smallest possible integer that fits this restriction?

Melody  Apr 19, 2015

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