PreCalculus/Calculus
posted by Molly on .
I am too embarassed to ask this Calculus (really precalculus) question in tutoring, because I know I should know. Is the inverse of f(x)=3x1 actually f(x)=1/3x+1? How do I find it? What if it asks the same equation replaced with f to the 1 power (x)? I think I know how the F of 1 power (x) is x+1/3, but I know that from watching someone else.

Ok. An inverse function is formed from switch in the input and output variables(x,y).
so y = 3x 1
flip x = 3y1 and solve for y again
x+1=3y
y = 1/3(x+1)
so f^1(x) = 1/3(x+1)
and the inverse of an inverse function is the original equation: f(x) = 3x1 
okay, thanks!