Question
What is the smallest integer value of c such that the function
f(x)=x^2+1/x^2-x+c has a domain of all real numbers? Thank you!
f(x)=x^2+1/x^2-x+c has a domain of all real numbers? Thank you!
Answers
Steve
the denominator cannot be zero.
So, its discriminant must be negative.
That means
1-4c < 0
So, its discriminant must be negative.
That means
1-4c < 0
its 1
its 1