Sure, let's find [tex]\( f(-3) \)[/tex] for the function [tex]\( f(x) = 2x^2 + 1 \)[/tex].
Step 1:
Write down the function:
[tex]\[ f(x) = 2x^2 + 1 \][/tex]
Step 2:
Substitute [tex]\( x = -3 \)[/tex] into the function:
[tex]\[ f(-3) = 2(-3)^2 + 1 \][/tex]
Step 3:
Calculate the expression inside the square:
[tex]\[ (-3)^2 = 9 \][/tex]
Step 4:
Multiply by 2:
[tex]\[ 2 \times 9 = 18 \][/tex]
Step 5:
Add 1 to the result from Step 4:
[tex]\[ 18 + 1 = 19 \][/tex]
Therefore,
[tex]\[ f(-3) = 19 \][/tex]
The result is [tex]\( f(-3) = 19 \)[/tex].
