Given the functions:

• $f(x) = x$
• $g(x) = 12f(x)$

To express $g(x)$ more clearly, you can substitute the expression for $f(x)$ into $g(x)$:

$g(x) = 12f(x) = 12 \times x = 12x$

So, $g(x) = 12x$.

Would you like more details or have any questions?

Here are five questions that extend this topic:

1. What happens if you combine $f(x)$ and $g(x)$ through addition or multiplication?
2. How would you find the derivative of $f(x)$ and $g(x)$?
3. Can you express the composition of the two functions, i.e., $g(f(x))$?
4. How would these functions behave if they were shifted vertically or horizontally?
5. What is the inverse of $g(x)$?

Tip: For linear functions like $f(x) = x$ and $g(x) = 12x$, their graphs are straight lines. The slope of the line represents the rate of change, which for $f(x)$ is 1, and for $g(x)$ is 12.