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