Question Suppose that \( g(x)=3 f(x) \) and that \( (-1,3) \) is a point on the graph of \( f(x) \). What are the coordinates of the poin on the graph of \( g(x) \) such that \( x=-1 \) ?

Given that \( g(x) = 3f(x) \), we need to find the coordinates of the point on the graph of \( g(x) \) when \( x = -1 \). 1. **Identify the Value of \( f(-1) \):** - The point \( (-1, 3) \) is on the graph of \( f(x) \), which means \( f(-1) = 3 \). 2. **Calculate \( g(-1) \):** \[ g(-1) = 3f(-1) = 3 \times 3 = 9 \] 3. **Determine the Coordinates:** - The \( x \)-coordinate remains the same, \( x = -1 \). - The \( y \)-coordinate is \( g(-1) = 9 \). **Therefore, the coordinates of the point on the graph of \( g(x) \) when \( x = -1 \) are \((-1, 9)\).** **Answer:** \((-1,\ 9)\)