Question

How do you find the domain and range of `y = sqrt(x-10) + 5`?

Answer 1

Refer to explanation

Explanation:

Well we have that

`y=f(x)=sqrt(x-10)+5=`

since we have a square root the quantity under it must equal or greater than zero hence

`x-10>=0=>x>=10`

So the domain is `[10,+oo)` (where x gets its values)

To find the range eg where y gets its values we notice that

`y-5=sqrt(x-10)>=0=>y-5>=0=>y>=5` hence the range is

`[5,+oo)`