im terrible @ math. please help me with this!
given 2 functions: f(x) = 2x, g(x) = -2x²+5x
im supposed to determine the following
inverse of g
g (g inverse)
the difference quotient for f
the average rate of change for f
yeah... a lot of Q's. someone pls explain the process to me, cuz i fail to understand it...
Now switch the roles of x and y:
Now solve for y:
<-- via the quadratic formula
The problem, as CaptainBlack mentioned, is that for the graph y = g(x) there are two y values for every x (except at the vertex point), so we need to be very careful about defining a domain on which an inverse exists and just what that inverse is. (It will either be the "+" or the "-" of the inverse formula given above.)