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

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Guest Apr 18, 2015

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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:

square root function

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Alan Apr 18, 2015

Alan · Answer 1 · 2015-04-18T03:39:58

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:

square root function

.

Melody · Answer 2 · 2015-04-19T06:44:30

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?