To solve the problem and evaluate [tex]\( f(3) \)[/tex] given the function [tex]\( f(x) = 7x^2 + 2x - 20 \)[/tex], follow these steps:
1. Substitute [tex]\( x = 3 \)[/tex] into the function:
[tex]\[
f(3) = 7(3)^2 + 2(3) - 20
\][/tex]
2. Calculate the value of [tex]\( 3^2 \)[/tex]:
[tex]\[
3^2 = 9
\][/tex]
3. Multiply this result by 7:
[tex]\[
7 \times 9 = 63
\][/tex]
4. Multiply 2 by 3:
[tex]\[
2 \times 3 = 6
\][/tex]
5. Add these results and then subtract 20:
[tex]\[
63 + 6 - 20 = 49
\][/tex]
So, [tex]\( f(3) \)[/tex] evaluates to [tex]\( 49 \)[/tex]. The final result is:
[tex]\[
f(3) = 49
\][/tex]
