The function \( g(x) = 735 \) represents a horizontal line on the graph where the output (or y-value) is always 735, regardless of the value of \( x \).
The y-intercept of a graph is the point where the graph crosses the y-axis, which occurs when \( x = 0 \).
For \( g(x) = 735 \):
- When \( x = 0 \), \( g(0) = 735 \).
- Therefore, the y-intercept is 735.
So, the value of the y-intercept of the graph of \( g(x) = 735 \) is 735.