Answered

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Given [tex]$g(x) = 11 - 3x[tex]$[/tex], find [tex]$[/tex]g(-6)$[/tex].

A. [tex]-7[/tex]
B. 29
C. [tex]-29[/tex]

Sagot :

GinnyAnswer
To solve the problem, we need to evaluate the function \( g(x) = 11 - 3x \) at \( x = -6 \). Follow these steps:

1. Write down the function:
[tex]\[ g(x) = 11 - 3x \][/tex]

2. Substitute \( x = -6 \) into the function:
[tex]\[ g(-6) = 11 - 3(-6) \][/tex]

3. Simplify the expression within the parentheses:
[tex]\[ g(-6) = 11 - (-18) \][/tex]

4. Subtracting a negative number is the same as adding the positive counterpart:
[tex]\[ g(-6) = 11 + 18 \][/tex]

5. Add the numbers together:
[tex]\[ g(-6) = 29 \][/tex]

So, \( g(-6) \) is:

[tex]\[ \boxed{29} \][/tex]
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