#Please show me the steps to find the domain of this equation

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dapper tangle
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river lark
dapper tangle
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Hello :]

river lark
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Domain is just all the points where function is well defined
i.e. no division by 0, log(0), log(-3), sqrt(-1), etc

Can you see where is this function undefined?
when you find all points where its undefined, remove them from set of real numbers, and you will get domain

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is it understandable? if not, you can tell

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@dapper tangle

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velvet sparrow
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@dapper tangle if you still need helpa in simpler terms, the domain is all values of x that can input that would give out a real y value.

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For your question, it can be factorised into (x+3)/(x+3)(x-4)

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which simplifies to 1/x-4

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therefore the domain of x is simply x is not equals to 4

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as all other values would produce a valid y value