To find the function $g(x)$, which is the reflection of $f(x) = 7x - 5$ across the x-axis, we follow these steps:

1. Reflection Across the X-axis: Reflecting a function across the x-axis involves multiplying the function by $-1$.

2. Apply the Reflection: Multiply the entire function $f(x) = 7x - 5$ by $-1$.

$g(x) = -[7x - 5]$

3. Simplify:

$g(x) = -7x + 5$

Thus, the reflected function is $g(x) = -7x + 5$.

Do you want more details or have any questions? Here are five related questions:

1. What would $g(x)$ be if $f(x) = -7x + 5$?
2. How does reflecting $f(x) = 7x - 5$ across the y-axis differ from the x-axis reflection?
3. What is the effect on the graph of a linear function when it's reflected across the origin?
4. Can you find the x-intercept of the reflected function $g(x) = -7x + 5$?
5. What happens if you reflect $f(x) = 7x - 5$ twice across the x-axis?

Tip: Reflecting a function across the x-axis inverts the sign of the output but keeps the input values the same.