Sure, let's find the value of [tex]\( g(-7) \)[/tex] given the function [tex]\( g(x) = 4x - 6 \)[/tex].
1. Define the function:
The function [tex]\( g \)[/tex] is given by:
[tex]\[
g(x) = 4x - 6
\][/tex]
2. Substitute [tex]\( x = -7 \)[/tex] into the function:
To find [tex]\( g(-7) \)[/tex], we need to substitute [tex]\(-7\)[/tex] for [tex]\( x \)[/tex] in the equation:
[tex]\[
g(-7) = 4(-7) - 6
\][/tex]
3. Perform the operations:
- First, calculate [tex]\( 4(-7) \)[/tex]:
[tex]\[
4(-7) = -28
\][/tex]
- Then, subtract 6 from [tex]\(-28\)[/tex]:
[tex]\[
-28 - 6 = -34
\][/tex]
4. Conclusion:
Therefore, the value of [tex]\( g(-7) \)[/tex] is:
[tex]\[
g(-7) = -34
\][/tex]
The correct answer is (A) -34.
