To determine the value of [tex]\( f(-2.75) \)[/tex], let's go through the steps:
1. We start with the given function [tex]\( f(x) \)[/tex].
2. We need to evaluate this function at [tex]\( x = -2.75 \)[/tex].
Substitute [tex]\( -2.75 \)[/tex] into the function [tex]\( f(x) \)[/tex]:
[tex]\[ f(-2.75) = 2(-2.75) + 3 \][/tex]
Now, perform the multiplications and additions:
[tex]\[ 2 \times -2.75 = -5.5 \][/tex]
[tex]\[ -5.5 + 3 = -2.5 \][/tex]
Thus,
[tex]\[ f(-2.75) = -2.5 \][/tex]
Next, we compare [tex]\(-2.5\)[/tex] with the provided options:
- [tex]\(-5\)[/tex]
- [tex]\(-4\)[/tex]
- [tex]\(-2\)[/tex]
- [tex]\(-1\)[/tex]
None of the given options matches [tex]\(-2.5\)[/tex].
Therefore, [tex]\( f(-2.75) \)[/tex] is not equal to any of the provided choices, and the correct value is [tex]\(-2.5\)[/tex], which is not listed among the options.
