Question

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

Answer 1

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.