To evaluate the function [tex]\( f(x) = 4x^2 + x - 3 \)[/tex] at [tex]\( x = 5 \)[/tex], follow these steps:
1. Substitute [tex]\( x = 5 \)[/tex] into the function:
[tex]\[
f(5) = 4(5)^2 + 5 - 3
\][/tex]
2. Calculate [tex]\( (5)^2 \)[/tex]:
[tex]\[
(5)^2 = 25
\][/tex]
3. Proceed with the multiplication by 4:
[tex]\[
4 \cdot 25 = 100
\][/tex]
4. Add the linear term:
[tex]\[
100 + 5 = 105
\][/tex]
5. Finally, subtract 3:
[tex]\[
105 - 3 = 102
\][/tex]
Therefore, the value of the function at [tex]\( x = 5 \)[/tex] is:
[tex]\[
f(5) = 102
\][/tex]
