Question

find the domain of x2+2x+1/x2-x-6​

Answer 1

☑ RationaL Function

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Find the domain of $\tt \frac{ {x}^{2} + 2x + 1 }{ {x}^{2} - x - 6 }$ !

DISCUSSION :

$\tt f(x) = \frac{ {x}^{2} + 2x + 1 }{ {x}^{2} - x - 6 } \to D_{f(x)} = \{ {x}^{2} - x - 6 > 0 \}$

$\tt f(x) = \frac{ {x}^{2} + 2x + 1 }{ {x}^{2} - x - 6 } \to D_{f(x)} = \{(x - 3)(x + 2) > 0 \}$

$\tt f(x) = \frac{ {x}^{2} + 2x + 1 }{ {x}^{2} - x - 6 } \to D_{f(x)} = \{ x < - 2 \: or \: x > 3 \}$

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#DONE