Question

Example of A function whose domain is [2, infinity]

Answer 1

`\\f(x)=√(x-2) \\ \\g(x)=(x-1)^2+2`

Answer 2

`y=√(x-2)`

Explanation:

`y=√(x-2)`

Let us see how.

Our function contains a square root. And we know that we can not find the square root of any negative number as a square always gives you a positive number . Hence reverse can not be possible. Thus

we have (x-2) under square root. thus this number must be greater than or equal to 0

(x-2)≥0

subtracting 2 from both sides we get

x≥2

Hence our function gives result only for values which are greater than or equal to 2. Or the domain of function is [2,∞]