Question

What is the domain of the function y = 3 sqrt x - 1?

Answer 1

y = 3√(x-1).
Constraint: the radicand (x-1) ≥ 0 or x≥ 1
So the domain of this function is all Real for x ≥ 1
{x∈ R/x≥1}

Answer 2

Solution:

The given function is , $y=3 \sqrt{x}-1$

Domain means, those values of y, for which x is defined.

As,  $\sqrt{x}$ is defined for positive real number, that is from [0, ∞]→→Called closed interval.

So, Domain of function  $y=3 \sqrt{x}-1$ is [0 ,∞]