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Let [tex]$g(x) = -x^2 + 4x + 4$[/tex]. Find [tex]$g(p)$[/tex].

[tex]g(p) =[/tex]

Sagot :

GinnyAnsweridn
To find [tex]\( g(p) \)[/tex] given the function [tex]\( g(x) = -x^2 + 4x + 4 \)[/tex], we need to substitute [tex]\( p \)[/tex] for [tex]\( x \)[/tex] in the function. Here’s a step-by-step explanation:

1. Write down the function [tex]\( g(x) \)[/tex]:

[tex]\[ g(x) = -x^2 + 4x + 4 \][/tex]

2. Substitute [tex]\( p \)[/tex] into [tex]\( g(x) \)[/tex] to obtain [tex]\( g(p) \)[/tex]:

[tex]\[ g(p) = -(p)^2 + 4(p) + 4 \][/tex]

3. Simplify the expression [tex]\( g(p) \)[/tex]:

[tex]\[ g(p) = -p^2 + 4p + 4 \][/tex]

Thus, the value of [tex]\( g(p) \)[/tex] is:

[tex]\[ g(p) = -p^2 + 4p + 4 \][/tex]
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