Let $f ( x ) = \sqrt { x + 1 } , g ( x ) = x ^ { 2 } - 1$

question 6

Multiple Choice

Let $f ( x ) = \sqrt { x + 1 } , g ( x ) = x ^ { 2 } - 1$ . Find the domain of the composite function.
$$( f \circ g ) ( x )$$

• A) \(\quad ( - \infty , - 1 )\)
• B) \(\quad ( - \infty , - 1 ]\)
• C) \(\quad ( - \infty , \infty )\)
• D) \(\quad ( - 1 , \infty )\)
• E) \([ - 1 , \infty )\)

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