Suppose that $f(x)=\frac{x-4}{(x-7)(x+7)}$ a. What is the vertical intercept for $f$ ? \[ y=0.08163265306122448 \quad \text { Preview } 0.08163265306122448=0.08163265306122448 \text {. } \] b. List the horizontal intercepts for $f$. \[ x= \] 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 for the function \(f(x)=\frac{x-4}{(x-7)(x+7)}\), we need to substitute x = 0 into the function and solve for y.

Step 2 ：Substitute x = 0 into the function: \(f(0)=\frac{0-4}{(0-7)(0+7)} = 0.08163265306122448\)

Step 3 ：\(\boxed{\text{The vertical intercept for } f \text{ is } y = 0.08163265306122448}\)