Question

What is the domain of the function y = square root x+6 -7?

Answer 1

Answer:

  -6 ≤ x < ∞

Step-by-step explanation:

You want the domain of the function y = √(x+6) -7.

Domain

The domain of a function is the set of x-values for which the function is defined. On a graph, it is the horizontal extent of the graph.

The square root function is undefined for negative arguments, so that limits the domain of the given function:

  x+6 ≥ 0

  x ≥ -6 . . . . . domain of the given function

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Additional comment

When the domain is written in interval notation, both the left and right ends of the interval must be specified.

  [-6, ∞)

The square bracket identifies -6 as being part of the domain. The parenthesis is used with ∞, because that number has no specific value.