Question

If f(x) - 2x2 +5./(x-2), complete the following statement:

The domain for f(x) is all real numbers
than__or equal to 2.

Answer 1

Answer: Greater than or equal to 2.

Explanation:

Given

Function is
`f(x)=2x^2+5√(x-2)`

The entity inside a square root is always positive i.e. greater than equal to zero

`\therefore \ x-2\geq 0\\\Rightarrow x\geq2`

So, the domain of the function is all real numbers greater than or equal to 2.