the point (5,9) is on the function y=f(x).State the mapping rule and the corresponding coordinates of the point for the transformed function g(x)=-2f(0.75(x-5)-6
The mapping rule for the transformed function g(x) is given by:
g(x) = -2 * f(0.75(x-5) - 6)
To find the corresponding coordinates of the point (5,9) for the transformed function g(x), we substitute x = 5 into the mapping rule:
g(5) = -2 * f(0.75(5-5) - 6)
= -2 * f(0.75(0) - 6)
= -2 * f(-6)
So the corresponding coordinates of the point for the transformed function g(x) are (-6, g(5)).