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22 April, 12:02

Given y=log3 (x+4) what is the domain

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  1. 22 April, 12:13
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    As you know, the domain is the values "x" can safely take on.

    well, for a logarithmic expression, it can never have an expression of 0, namely in this case, x + 4 must never be 0, since such a logarithm doesn't exist.

    now, x + 4 = 0 - - - > x = - 4.

    thus if "x" ever becomes - 4, we'd end up with log₃ (-4+4), or log₃ (0), which is a no dice.

    so the domain is all values except - 4.
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