To solve for $x$ when $f(x) = 9$, we start by using the given function definition: $f(x) = 4x - 3$

Step 1: Set up the Equation

Since $f(x) = 9$, substitute $9$ for $f(x)$ in the equation: $4x - 3 = 9$

Step 2: Solve for $x$

1. Add 3 to both sides: $4x - 3 + 3 = 9 + 3$ $4x = 12$

2. Divide by 4: $x = \frac{12}{4}$ $x = 3$

Therefore, the solution is: $x = 3$

Would you like additional details or have any questions about this solution?

Related Questions

1. What is the process for finding the inverse of $f(x) = 4x - 3$?
2. If $f(x) = 2x + 1$, what is the solution for $f(x) = 9$?
3. How can we check if $f(x) = 4x - 3$ is a one-to-one function?
4. How do we graph $f(x) = 4x - 3$ and identify its key features?
5. What are the solutions if $f(x) = 4x - 3 = 15$ instead?

Tip:

Always check your solutions by substituting back into the original function to ensure they satisfy the given conditions.