Answer :

To solve the function [tex]\( y = x^3 + 1 \)[/tex] for [tex]\( x = 4 \)[/tex], follow these steps:

1. Substitute [tex]\( x = 4 \)[/tex] into the function:
[tex]\[ y = (4)^3 + 1 \][/tex]

2. Calculate the cube of 4:
[tex]\[ 4^3 = 4 \times 4 \times 4 = 64 \][/tex]

3. Add 1 to the result of [tex]\( 4^3 \)[/tex]:
[tex]\[ y = 64 + 1 = 65 \][/tex]

Therefore, when [tex]\( x = 4 \)[/tex], the value of [tex]\( y \)[/tex] is [tex]\( 65 \)[/tex].