# Thread: How do I find domain and range of a function? G(x)=(x+5)^2-6

1. ## How do I find domain and range of a function? G(x)=(x+5)^2-6

G(x)=(x+5)^2-6

How exactly do I find out which answer is correct? I would appreciate if I told on how I go about finding the right answer.

a. Domain = all real numbers; Range = all real numbers greater than or equal to 6.

b. Domain = all real numbers greater than -5; Range = all real numbers less than -6.

c. Domain = all real numbers; Range = all real numbers greater than or equal to -6.

d. Domain = all real numbers; Range = all real numbers.

2. I think this is the correct answer.

Originally Posted by eliteplague

c. Domain = all real numbers; Range = all real numbers greater than or equal to -6.
x can be all real values as there are no square roots or a chance to create zero divisors.

y can only be -6 or bigger. Any x-value choosen will be come positive or zero given the squared function. From this point the most minimum will be at -6 past zero. You should plot this function to confirm.