How do you find the domain and range of y=sqrt(2x+7)

Amiya Melendez

Amiya Melendez

Answered question

2022-10-13

How do you find the domain and range of y = 2 x + 7 ?

Answer & Explanation

Alexandria Rubio

Alexandria Rubio

Beginner2022-10-14Added 10 answers

So, we need to find the smallest number that we can take the square root of that is still in the real number system, which of course is zero.
So, we need to solve the equation 2x+7=0
Obviously this is x = 7 2
So, that is the smallest, legal x value, which is the lower limit of your domain. There is no maximum x value, so the upper limit of your domain is positive infinity.
So D = [ 7 2 , + ]
The minimum value for your range will be zero, since 0 = 0
There is no max value for your range, so R = [ 0 , + )

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