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..]
Answer
\(\boxed{\text{The vertical intercept for } f \text{ is } y = 0.08163265306122448}\)
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 ：\(\boxed{\text{The vertical intercept for } f \text{ is } y = 0.08163265306122448}\)
