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What is [tex]f(-2.75)[/tex]?

A. [tex]-5[/tex]
B. [tex]-4[/tex]
C. [tex]-2[/tex]
D. [tex]-1[/tex]


Sagot :

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.