Question

Find the domain of the following function . f(x) = whole root 3x^2 - 4x + 5.

Answer 1

Well, I think that it must be a real function. Am I correct?

Answer 2

For that, you have to solve the inequality:\[3x^2 - 4x + 5\ge0 \]

Answer 3

okay .. but in my note its given since the discriminant is 0 . 3x^2 - 4x + 5 > 0 . for every real x .
domain = R

Answer 4

Yep.

Answer 5

If you look at it, you may not put a negative in a square root. Right?
So, the domain must make the function positive. get my point?

Answer 6

yeah .. partially actually .. can you tell me why the domain is R ?

Answer 7

Domain is \(\mathbb{R}\)? It's because you cannot get an imaginary number.

Answer 8

oh okay tnx .. :)

Answer 9

\[\Huge \ddot \smile \]