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Where is the function f(x) = 4/(x + 5) undefined?

Where is the function f(x) = 4/(x + 5) undefined?-example-1
User Valerii Rusakov
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1 Answer

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For a function to be undefined, the denominator must be zero.

So, to solve the given function, let's equate the denominator to zero.


x+5=0

Then, let's solve for x. Subtract -5 on both sides of the equation.


\begin{gathered} x+5-5=0-5 \\ x=-5 \end{gathered}

Hence, at x = -5, the denominator is zero and it makes the function undefined.

User ThunderHorn
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