SOLUTION: find a formula for {{{f^(-1)(x)}}}. give the domain of {{{f^(-1)}}}, including any restrictioons "inherited" from f. {{{f(x)=(x+3)/(x-2)}}}

Question 348441: find a formula for . give the domain of , including any restrictioons "inherited" from f.

Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!

The domain if f(x) is 







Replace f(x) for y



Interchange x and y:



Solve for y











chnage y to f^-1(x)



The domain is  

The green graph is the inverse.



Notice that the inverse f^-1(x) is the reflection of f(x) 
across the identity line, the line whose equation is y=x, a line through
the origin that bisects to 1st and 3rd quadrants, the dotted line below:



Edwin

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