In this problem, we are applying function notation. When we see a function written as
[tex]f(x),[/tex]we read it as "f of x" or "f as a function of x."
We will take the value of x and substitute it into the quation.
The function rule states
[tex]f(x)=-2x+3[/tex]Since we are given f(-3), we will substitute each x-value (inside parentheses), and simplify:
[tex]f(-3)=-2(-3)+3=6+3=9[/tex]Therefore, f(-3) = 9.