Function f has an inverse. The graph of function f's inverse passes through (3,-6).
Define g(x)=2f(3x)-5. Function g also has an inverse.
What point must the graph of g's inverse pass through?
thanks so much!
+130081 Not great at these, but I'll give this a try
f(x) must have the point (-6,3) [ the inverse would reverse these coordinates ]
f (3x) compresses the graph of f(x) by factor of 3 so ( -6/3 , 3) = ( -2,3) would be on this graph
And 2 f(3x) means the point (-2, 2*3) = (-2, 6) is on this graph
And 2 f(3x) - 5 means the point (-2 , 6 - 5) = ( -2, 1) is on this graph
So
(1,-2) is on the inverse of g
