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The function [tex]$p(x) = \frac{7}{5x + 6}$[/tex] is defined. What is the value of [tex]$p(-1)$[/tex]?

Sagot :

GinnyAnswer
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]
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