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1 April, 10:34

What are the domain restrictions of a + 1 / a^2-5a-36?

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  1. 1 April, 10:58
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    All real numbers except - 4 and 9.

    The domain of an expression is the range of all values for which the expression is defined. Looking at the expression, it will legal everywhere except when a^2 - 5a - 36 is equal to 0. Since that's a quadratic equation, we can use the quadratic formula to find where its value is 0, giving - 4 and 9.

    Therefore the domain of the expression is, All real numbers except - 4 and 9.
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