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Chapter 1: Problem 37

Find all real values of \(x\) such that \(f(x)=0\). $$f(x)=15-3 x$$

Short Answer

Expert verified
The real value of \(x\) that makes the function \(f(x) = 0\) is \(x = 5\).

Step by step solution

01

Understand the function

The function given is \(f(x) = 15 - 3x\). The goal is to find for what value of \(x\) the function equals to 0, so basically solve the equation for x: \(0 = 15 - 3x\).
02

Rearrange the equation

To isolate \(x\) on one side of the equation, first subtract 15 from both sides: \(-15 = -3x\).
03

Solve for \(x\)

Now dividing both sides of the equation by -3, so that \(x\) is alone. This results in \(x = 5\).

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