Math  /  Algebra

QuestionFind the domain and range of the function f(x)=x+53f(x)=\sqrt{x+5}-3 in interval and inequality notation.

Studdy Solution
To express the range in interval notation, we write it as [3,)[-3, \infty). This means that y can be any number greater than or equal to -3.
The domain of the function f(x)=x+53f(x)=\sqrt{x+5}-3 is [5,)[-5, \infty) in interval notation and x5x \geq -5 in inequality notation. The range of the function is [3,)[-3, \infty) in interval notation and y3y \geq -3 in inequality notation.

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