Find the equation of the inverse function for the following function if f(x)=3x+1 and g(x)=x+2 then find (fg)(x) if f(x)=3x+1 and g(x)=x+2 then find (fg)(x)
Given f(x)=3x+1, g(x)=x+2:
(1) The inverse of f(x) can be found by switching "x" and "y" and then solving for y.
** Note that in f(x) you multiply the input by 3 and then add 1 to the result. In the inverse, you subtract 1 from the input , then divide by 3. You perform the inverse operations in the reverse order.
(2) The inverse of g(x) is found in a similar manner:
This is simply the product f(x)g(x)