Question

What is the domain of this function? f(x)=3√x-2

Answer 1

`Domain:\lbrack2,\infty)`

Step-by-step explanation

The domain of a function is the complete set of possible values of the independent variable,

Step 1

given

`f(x)=3√(x-2)`

The domain of a radical function is any x value for which the radicand (the value under the radical sign) is not negative Since the square root must always be positive or 0,

so,let's solve for x

`\begin{gathered} x-2\ge0 \\ add\text{ 2 in both sides} \\ x-2+2\geqslant0+2 \\ x\ge2 \end{gathered}`

so, the domain is all numbers equal or greater than 2

`Domain:\lbrack2,\infty)`

I hope this helps you