Question

please solve these question....

find the domain??????

Answer 1

f(x) = (x^2+x+1)^-3/2 = 1/(x^2+x+1)^3/2

The only time there's a risk that the function might not be differentiatable is when the denominator might become zero.

However, this quadratic equation would never be equal to zero, because it's discriminant is less than zero and it has a positive Coefficient for x^2, this from theory of quadratic equations we can say that every possible real value of x can be put in

And, also, the domain of the whole Function will become R(i.e all real number)