To find the value of the function [tex]\( p(x) \)[/tex] at [tex]\( x = -1 \)[/tex], we need to substitute [tex]\( -1 \)[/tex] for [tex]\( x \)[/tex] in the given function [tex]\( p(x) \)[/tex].
Given:
[tex]\[
p(x) = \frac{7}{5x + 6}
\][/tex]
Now, substitute [tex]\( x = -1 \)[/tex] into the function:
[tex]\[
p(-1) = \frac{7}{5(-1) + 6}
\][/tex]
Simplify the expression in the denominator:
[tex]\[
5(-1) + 6 = -5 + 6 = 1
\][/tex]
So, the expression becomes:
[tex]\[
p(-1) = \frac{7}{1} = 7
\][/tex]
Therefore, the value of [tex]\( p(-1) \)[/tex] is:
[tex]\[
7.0
\][/tex]
