College

When [tex]f(x) = 9x^2 - x - 2[/tex], evaluate [tex]f(-3)[/tex].

1. Substitute [tex]-3[/tex] into the function:
[tex]f(-3) = 9(-3)^2 - (-3) - 2[/tex].

2. Calculate [tex](-3)^2[/tex]:
[tex](-3)^2 = 9[/tex].

3. Substitute the squared value back:
[tex]f(-3) = 9(9) + 3 - 2[/tex].

4. Simplify:
[tex]f(-3) = 81 + 3 - 2[/tex].

5. Final calculation:
[tex]f(-3) = 82[/tex].

[tex]f(-3) = 82[/tex]