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The function [tex]\( g \)[/tex] is defined as:

[tex]\[ g(x) = \frac{1}{3} x - 12 \][/tex]

What is the value of [tex]\( g(-6) \)[/tex]?

Sagot :

GinnyAnswer
To find the value of [tex]\( g(-6) \)[/tex] for the function [tex]\( g(x) = \frac{1}{3}x - 12 \)[/tex], we need to substitute [tex]\( x = -6 \)[/tex] into the function and simplify.

1. First, start with the function:
[tex]\[ g(x) = \frac{1}{3}x - 12 \][/tex]

2. Substitute [tex]\( x = -6 \)[/tex] into the function:
[tex]\[ g(-6) = \frac{1}{3}(-6) - 12 \][/tex]

3. Simplify the fraction:
[tex]\[ g(-6) = \frac{-6}{3} - 12 \][/tex]

4. Divide [tex]\( -6 \)[/tex] by [tex]\( 3 \)[/tex]:
[tex]\[ g(-6) = -2 - 12 \][/tex]

5. Finally, subtract [tex]\( 12 \)[/tex] from [tex]\( -2 \)[/tex]:
[tex]\[ g(-6) = -2 - 12 = -14 \][/tex]

Therefore, the value of [tex]\( g(-6) \)[/tex] is:
[tex]\[ g(-6) = -14 \][/tex]
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