To find the indicated value of the given function [tex]\( g(x) = 2x^2 - 3 \)[/tex] at [tex]\( x = 9 \)[/tex], we need to follow these steps:
1. Substitute [tex]\( x = 9 \)[/tex] into the function [tex]\( g(x) \)[/tex]:
[tex]\[
g(9) = 2(9)^2 - 3
\][/tex]
2. Calculate [tex]\( 9^2 \)[/tex]:
[tex]\[
9^2 = 81
\][/tex]
3. Multiply the result by 2:
[tex]\[
2 \cdot 81 = 162
\][/tex]
4. Subtract 3 from the result:
[tex]\[
162 - 3 = 159
\][/tex]
Therefore, the value of [tex]\( g(9) \)[/tex] is [tex]\(\boxed{159}\)[/tex].
