Final answer:
To find the coordinates of the figure after the given transformations, first rotate the figure 90° clockwise about the origin using the rotation formula, then dilate the figure with respect to the origin using a scale factor of 3.
Step-by-step explanation:
In order to find the coordinates of the figure after the given transformations, we need to first rotate the figure 90° clockwise about the origin. To do this, we can use the rotation formula: x' = x*cos(q) + y*sin(q) and y' = -x*sin(q) + y*cos(q). Plugging in the coordinates of J(1,1), K(3,4), and L(5,1), we can find the new coordinates.
After rotating the figure, we need to dilate it with respect to the origin using a scale factor of 3. To do this, we can multiply each coordinate by the scale factor. The final coordinates of the figure can be found by multiplying the rotated coordinates by the scale factor.