# How do you find the domain and range of # sqrt(t+7)#?

##### 1 Answer

Feb 16, 2017

#### Explanation:

a square root can never be negative inside, it would mean that there are no real numbers, no real solution *(unless we're going into imaginary numbers)*

so set the this rational expression to 0

you put

graph:

graph{y=sqrtx [-10, 10, -5, 5]}

so

and

*note: if the equation were #y = sqrt(t + 7) + 1# then the range would be #R: [1, oo)#*

graph:

graph{y = sqrt(x + 7) [-10, 10, -5, 5]}