For the given equation, find f, of, x, equals, 0*f*(*x*)=0

f, of, x, equals, 3, x, minus, 12*f*(*x*)=3*x*−12

Let's solve the equation step by step.

You provided the function:

\[
f(x) = 3x - 12
\]

We want to find the value of \( x \) when \( f(x) = 0 \). This means we set the function equal to zero and solve for \( x \):

\[
0 = 3x - 12
\]

### Solving the Equation:

1. **Add 12 to both sides** to isolate the term involving \( x \):

\[
12 = 3x
\]

2. **Divide both sides by 3** to solve for \( x \):

\[
x = \frac{12}{3} = 4
\]

### Final Answer:
The value of \( x \) that satisfies \( f(x) = 0 \) is \( x = 4 \).

Would you like more details or have any other questions?

### Follow-Up Questions:
1. How can you verify the solution for \( f(x) = 0 \) by substituting \( x = 4 \) back into the equation?
2. What are the roots of a linear equation, and how do they relate to the graph of the function?
3. How do you graph the function \( f(x) = 3x - 12 \)?
4. How does shifting a linear function affect its roots?
5. What are the general steps to solve a linear equation in one variable?

### Tip:
When solving linear equations, always perform inverse operations (addition, subtraction, multiplication, division) to isolate the variable on one side of the equation.

Learn how to solve the linear equation 3x - 12 = 0 with a detailed step-by-step solution. This problem covers key algebraic concepts, including solving linear equations and isolating variables. Suitable for students in Grades 7-9.

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