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Given [tex]$g(n) = 3n + 1$[/tex], find [tex]$g(-n)$[/tex].

Sagot :

GinnyAnsweridn
Sure! Let's find the value of [tex]\( g(-n) \)[/tex] given the function [tex]\( g(n) = 3n + 1 \)[/tex].

Here's a detailed, step-by-step solution:

1. Identify the given function:
[tex]\[ g(n) = 3n + 1 \][/tex]

2. Substitute [tex]\(-n\)[/tex] into the function:
We need to find [tex]\( g(-n) \)[/tex]. This means we replace every occurrence of [tex]\( n \)[/tex] in [tex]\( g(n) \)[/tex] with [tex]\(-n\)[/tex].

3. Substitute [tex]\(-n\)[/tex] into the expression [tex]\( 3n + 1 \)[/tex]:
[tex]\[ g(-n) = 3(-n) + 1 \][/tex]

4. Simplify the expression:
[tex]\[ g(-n) = -3n + 1 \][/tex]

So, the value of [tex]\( g(-n) \)[/tex] is:
[tex]\[ g(-n) = -3n + 1 \][/tex]

This is the required solution.
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