To find [tex]\( g(-6) \)[/tex] for the function [tex]\( g(x) = 4x - 1 \)[/tex], follow these steps:
1. Identify the Function: The given function is [tex]\( g(x) = 4x - 1 \)[/tex].
2. Substitute [tex]\( x = -6 \)[/tex]: To determine [tex]\( g(-6) \)[/tex], substitute [tex]\(-6\)[/tex] for [tex]\( x \)[/tex] in the function.
[tex]\[
g(-6) = 4(-6) - 1
\][/tex]
3. Perform the Multiplication: Multiply [tex]\( 4 \)[/tex] by [tex]\(-6\)[/tex].
[tex]\[
4 \times -6 = -24
\][/tex]
4. Complete the Calculation: Subtract [tex]\( 1 \)[/tex] from [tex]\(-24\)[/tex].
[tex]\[
-24 - 1 = -25
\][/tex]
Therefore, [tex]\( g(-6) = -25 \)[/tex].
