Question

What is the domain and range of `f(x)=sqrtx /( x-10)`?

Answer 1

Domain: `[0,10)uu(10,oo)` , Range: `[-oo,oo]`

Explanation:

`f(x)=sqrt x/(x-10)` . Domain: under root should be `>=0:. x>=0` and denominator should not be zero, i.e `x-10!=0 :. x != 10`
So domain is `[0,10)uu(10,oo)`

Range: `f(x)` is any real value, i.e `f(x) in RR` or `[-oo,oo]`
graph{x^0.5/(x-10) [-20, 20, -10, 10]}