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QuestionCalculate −f(x)-f(x) for the function f(x)=∣x∣−3f(x)=|x|-3.

Studdy Solution

STEP 1

Assumptions1. The function is defined as f(x)=∣x∣−3f(x)=|x|-3 . We need to find the value of −f(x)-f(x)

STEP 2

First, we need to define −f(x)-f(x). We can do this by multiplying the function f(x)f(x) by −1-1.
−f(x)=−1×f(x)-f(x) = -1 \times f(x)

STEP 3

Now, substitute the given function f(x)=∣x∣−3f(x)=|x|-3 into the equation.
−f(x)=−1×(∣x∣−3)-f(x) = -1 \times (|x|-3)

STEP 4

istribute the −1-1 across the terms inside the parentheses.
−f(x)=−∣x∣+3-f(x) = -|x| +3So, the value of −f(x)-f(x) when f(x)=∣x∣−3f(x)=|x|-3 is −∣x∣+3-|x| +3.

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