the circle x^2 + y^2 = 49 consists of four one-to-one functions f1, f2, f3, f4.
(1) find a formula for the function f1 and its domain.
(2) find the inverse of function f1 and write it as y= f^(-1)x

Question

the circle x^2 + y^2 = 49 consists of four one-to-one functions f1, f2, f3, f4. 
(1) find a formula for the function f1 and its domain. 
(2) find the inverse of function f1 and write it as y= f^(-1)x

anonymous · Answer

|dw:1317542038325:dw|For the functions to be 1-to-1 a single x value can't yield two different y values, AND a single y value can't come from two different x values.  For the first condition you can think of it as a vertical line can't cross the curve at two different points.  For the second condition a horizontal line can't cross the curve at two different points.  Can you break the circle into 4 parts so that these two conditions are satisfied?

anonymous · Answer

yes each quadrant is a function