College

Which is equal to [tex]$f(-2)$[/tex]?

Given [tex]$f(x) = -2(x - 14)$[/tex],

A. 24
B. 32
C. -32
D. -24

Answer :

We start with the function

[tex]$$
f(x) = -2(x - 14).
$$[/tex]

To find [tex]$f(-2)$[/tex], substitute [tex]$x = -2$[/tex]:

[tex]$$
f(-2) = -2((-2) - 14).
$$[/tex]

Step 1: Simplify the expression inside the parentheses:

[tex]$$
(-2) - 14 = -16.
$$[/tex]

Step 2: Multiply by [tex]$-2$[/tex]:

[tex]$$
f(-2) = -2(-16) = 32.
$$[/tex]

Thus, the value of [tex]$f(-2)$[/tex] is [tex]$\boxed{32}$[/tex].

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