Question

What is the value of the function y = 1 over 8x−13 when x=−4?
−15
negative 15

−12.5
negative 12.5

−13.5
negative 13.5

−16

Answer 1

To find the value of the function \( y = \frac{1}{8x - 13} \) when \( x = -4 \), we start by substituting \(-4\) into the equation:

\[
y = \frac{1}{8(-4) - 13}
\]

Now calculate \( 8(-4) \):

\[
8(-4) = -32
\]

Next, substitute that back into the equation:

\[
y = \frac{1}{-32 - 13}
\]

Now calculate \(-32 - 13\):

\[
-32 - 13 = -45
\]

So now we have:

\[
y = \frac{1}{-45}
\]

This results in:

\[
y = -\frac{1}{45}
\]

Since \(-\frac{1}{45}\) is not one of the given choices \( -15, -12.5, -13.5, -16 \), please make sure to check if the function or the options have been copied correctly. However, the calculation is correct based on the function provided.