To find [tex]\( h(3) \)[/tex] given the function [tex]\( h(x) = 4x^3 - 2 \)[/tex], follow these steps:
1. Start with the given function:
[tex]\[
h(x) = 4x^3 - 2
\][/tex]
2. Substitute [tex]\( x = 3 \)[/tex] into the function:
[tex]\[
h(3) = 4(3)^3 - 2
\][/tex]
3. Calculate the value of [tex]\( 3^3 \)[/tex]:
[tex]\[
3^3 = 27
\][/tex]
4. Multiply the result by 4:
[tex]\[
4 \cdot 27 = 108
\][/tex]
5. Subtract 2 from the result:
[tex]\[
108 - 2 = 106
\][/tex]
So, [tex]\( h(3) = 106 \)[/tex].
Therefore, the value of [tex]\( h(3) \)[/tex] is [tex]\( 106 \)[/tex].
