Suppose that $f(x)=\frac{x-4}{(x-7)(x+7)}$ a. What is the vertical intercept for $f$ ? \[ y=0.08163265306122448 \quad \text { Preview } 0.08163265306122448=0.08163265 \] b. List the horizontal intercepts for $f$. \[ x= \] Preview

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 \(f(x)=\frac{x-4}{(x-7)(x+7)}\).

Step 3 ：After substituting, we get \(y=0.08163265306122448\).

Step 4 ：So, the vertical intercept for \(f\) is \(y = \boxed{0.08163265306122448}\).