+0  
 
0
111
1
avatar

What is the smallest integer value of c such that the function has a domain of all real numbers? 

Guest Jul 17, 2017
Sort: 

1+0 Answers

 #1
avatar+78575 
+1

 

The numerator will be defined for all x

 

If the discriminant  of   x^2 - x + c  is < 0, there will be no real x's that make the denominator 0

 

So...we have that

 

1 - 4c < 0

 

1 < 4c

 

1/4 < c

 

So....c > 1/4  and the smallest positive integer  where c > 1/4  is when c  =1

 

 

cool cool cool

CPhill  Jul 17, 2017

8 Online Users

avatar
avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details