Question

How do you find the domain and range of `f(x)= sqrt(6x-10)`?

Answer 1

Domain : `x>=5/3 or [5/3 ,oo)`. Range: `f(x) >=0 or [0,oo)`

Explanation:

`f(x) = sqrt(6x-10)` . Domain: Under root should `>=0`

`6x-10 >=0 or 6x >=10 or x >=10/6 or x >=5/3 :.` Domain is

`x>=5/3 or [5/3 ,oo)`

Range: f(x) is not a negative number, i.e `f(x) >=0 or [0,oo)`

Domain is `x>=5/3 or [5/3 ,oo)` and Range is `f(x) >=0 or [0,oo)`

graph{(6x-10)^0.5 [-10, 10, -5, 5]} [Ans]