To solve for [tex]\( f(-1) \)[/tex] given the function [tex]\( f(x) = 4x - 5 \)[/tex], we need to replace each [tex]\( x \)[/tex] in the function with [tex]\(-1\)[/tex] and find the resulting function value.
Here's the detailed step-by-step procedure:
1. Start with the given function:
[tex]\[
f(x) = 4x - 5
\][/tex]
2. To evaluate [tex]\( f(-1) \)[/tex], substitute [tex]\(-1\)[/tex] for [tex]\( x \)[/tex]:
[tex]\[
f(-1) = 4(-1) - 5
\][/tex]
3. Perform the multiplication:
[tex]\[
4 \times (-1) = -4
\][/tex]
4. Substitute the result back into the expression:
[tex]\[
f(-1) = -4 - 5
\][/tex]
5. Perform the subtraction:
[tex]\[
-4 - 5 = -9
\][/tex]
So [tex]\( f(-1) \)[/tex] evaluates to [tex]\(-9\)[/tex].
The statement that best describes the procedure to find [tex]\( f(-1) \)[/tex] is:
- Replace each [tex]\( x \)[/tex] in the polynomial with [tex]\(-1\)[/tex] and find the resulting function value.
