From your explanation, you're solving for the input value $x$ where $f(x) = g(x)$.

Given:

• $f(x) = 3$
• $g(x) = x - 2$

You correctly set $f(x) = g(x)$, which gives the equation: $3 = x - 2$

To solve for $x$: $3 + 2 = x$ $x = 5$

Thus, the input value is $x = 5$.

Would you like more details or have any questions?

Here are some related questions to deepen your understanding:

1. What is the graphical interpretation of $f(x) = g(x)$?
2. How would the solution change if $f(x) = 4$ instead of $f(x) = 3$?
3. Can there be more than one solution for $f(x) = g(x)$?
4. How would you find the solution if $g(x)$ was a quadratic function?
5. How does shifting the graph of $g(x) = x - 2$ affect the solution?

Tip: Always check if both sides of the equation represent the same function type (linear, quadratic, etc.) to determine the possible number of solutions.