This math topic focuses on determining the domain of quadratic functions that incorporate square roots, particularly when the functions may yield complex roots. The exercises involve identifying valid inputs (domain) for quadratic expressions under a square root, ensuring the expression within the root remains non-negative. Each problem presents a function defined by a quadratic equation inside a square root and requires students to choose the correct set describing the function’s domain from given options.

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Function Domain - Simple Root of Quadratic (Complex Roots) to Domain Definition Worksheet

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Function Domain - Simple Root of Quadratic (Complex Roots) to Domain Definition
1
What set describes the domain of this function?
A LaTex expression showing f(x) = square root of -5x to the power of 2 -6x-3
a A LaTex expression showing \{ \}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert \}
2
What set describes the domain of this function?
A LaTex expression showing f(x) = square root of 3x to the power of 2 +6x+22
a A LaTex expression showing \{X \in \mathbb{{R}} \vert \}
b A LaTex expression showing \{ \}
3
What set describes the domain of this function?
A LaTex expression showing f(x) = square root of 1x to the power of 2 -5x+24
a A LaTex expression showing \{X \in \mathbb{{R}} \vert \}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert X < 9\}
4
What set describes the domain of this function?
A LaTex expression showing f(x) = square root of -5x to the power of 2 -4x-15
a A LaTex expression showing \{X \in \mathbb{{R}} \vert \}
b A LaTex expression showing \{ \}
5
What set describes the domain of this function?
A LaTex expression showing f(x) = square root of 5x to the power of 2 +9x+21
a A LaTex expression showing \{X \in \mathbb{{R}} \vert \}
b A LaTex expression showing \{ \}
6
What set describes the domain of this function?
A LaTex expression showing f(x) = square root of -1x to the power of 2 -6x-25
a A LaTex expression showing \{X \in \mathbb{{R}} \vert \}
b A LaTex expression showing \{ \}
7
What set describes the domain of this function?
A LaTex expression showing f(x) = square root of -3x to the power of 2 +5x-15
a A LaTex expression showing \{X \in \mathbb{{R}} \vert \}
b A LaTex expression showing \{ \}
8
What set describes the domain of this function?
A LaTex expression showing f(x) = square root of 3x to the power of 2 -10x+23
a A LaTex expression showing \{X \in \mathbb{{R}} \vert \}
b A LaTex expression showing \{ \}