Question

find the zeros of the function f(x) = 6x/x^2-36

Answer 1

The given function is

$f(x)=\frac{6x}{x^2-36}$

To find the zeros of this function, we replace f(x) = 0 and solve for x

$0=\frac{6x}{x^2-36}$

Then,

$\begin{gathered} 0\cdot(x^2-36)=6x \\ 6x=0 \\ x=0 \end{gathered}$

This means the function has a unique root, x = 0.

The image below shows the graph of this function, there you can observe the zero of the function we found.

Therefore, the answer is x = 0.