Suppose that $f(x)=\frac{x-4}{(x-6)(x+8)}$ a. What is the vertical intercept for $f$ ? \[ y=1 / 12 \quad \text { Preview } \frac{1}{12}=0.08333333333333333 \] b. List the horizontal intercepts for $f$. \[ x= \] Preview Enter a list of mathematical expressions [more..

Step 1 ：The vertical intercept of a function is the point where the graph of the function intersects the y-axis. This occurs when x = 0. So, to find the vertical intercept, we need to substitute x = 0 into the function and solve for y.

Step 2 ：Substitute x = 0 into the function: \(f(x)=\frac{x-4}{(x-6)(x+8)}\)

Step 3 ：Solve for y: \(y=\frac{0-4}{(0-6)(0+8)}\)

Step 4 ：Simplify to get the final answer: \(y=\frac{-4}{-48}=0.08333333333333333\)

Step 5 ：Final Answer: The vertical intercept for \(f\) is \(\boxed{0.08333333333333333}\).