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If [tex]f(144) = 84[/tex] and [tex]g(144) = 60[/tex], what is the value of [tex](f-g)(144)[/tex]?

A. [tex]-84[/tex]
B. [tex]-60[/tex]
C. [tex]0[/tex]
D. [tex]48[/tex]

Answer :

Certainly! Here’s a step-by-step solution to find the value of [tex]\((f-g)(144)\)[/tex]:

1. We have two functions, [tex]\( f(x) \)[/tex] and [tex]\( g(x) \)[/tex].
2. We need to calculate [tex]\((f-g)(144)\)[/tex], which is the same as [tex]\( f(144) - g(144) \)[/tex].
3. We are given the values for [tex]\( f(144) \)[/tex] and [tex]\( g(144) \)[/tex]:
- [tex]\( f(144) = 288 \)[/tex]
- [tex]\( g(144) = 156 \)[/tex]
4. Now, we need to find [tex]\((f-g)(144)\)[/tex]:
[tex]\[
(f-g)(144) = f(144) - g(144)
\][/tex]
5. Substitute the given values:
[tex]\[
(f-g)(144) = 288 - 156
\][/tex]
6. Perform the subtraction:
[tex]\[
288 - 156 = 132
\][/tex]

So, the value of [tex]\((f-g)(144)\)[/tex] is [tex]\(132\)[/tex].

Therefore, the correct answer is not listed among the provided options. Please check the provided information and verify if all given options are accurate.

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