To find the value of the function [tex]\( f(x) \)[/tex] at [tex]\( x = 3 \)[/tex], we substitute [tex]\( x \)[/tex] with 3 in the function's expression.
Given the function:
[tex]\[ f(x) = -2x + 7 \][/tex]
We need to evaluate [tex]\( f(3) \)[/tex]. Let's substitute [tex]\( x \)[/tex] with 3:
[tex]\[ f(3) = -2(3) + 7 \][/tex]
First, multiply [tex]\(-2\)[/tex] by [tex]\( 3 \)[/tex]:
[tex]\[ -2 \times 3 = -6 \][/tex]
Next, add 7 to [tex]\(-6\)[/tex]:
[tex]\[ -6 + 7 = 1 \][/tex]
Therefore, the value of [tex]\( f(3) \)[/tex] is:
[tex]\[ f(3) = 1 \][/tex]