College

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

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

A. 32
B. 24
C. [tex][tex]$-32$[/tex][/tex]
D. [tex]$-24$[/tex]

Answer :

We are given the function

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

and we need to evaluate [tex]$f(-2)$[/tex].

Step 1: Substitute [tex]$x = -2$[/tex] into the function.

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

Step 2: Simplify the expression inside the parentheses.

[tex]$$
-2 - 14 = -16
$$[/tex]

So, we have

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

Step 3: Multiply the two numbers.

[tex]$$
-2 \times (-16) = 32
$$[/tex]

Thus, the value of [tex]$f(-2)$[/tex] is

[tex]$$
\boxed{32}
$$[/tex]

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