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c3 - functions

Dear Helper,
I want to know why the author in this example chose (x) instead of x - 3 or x+3


I have attached the picture why x please.jpg

thank
Reply 1
Avatar for B_9710
B_9710
18
Since the functions are inverses and so are reflections and mirror images of each other in the y=x line, if they intersect at any point, they will intersect in the line y=x. So you can just let f(x)=x and solve or you could even let f^-1(x)=x and then solve.
Reply 2
Avatar for bigmansouf
bigmansouf
OP
20
Original post by B_9710
Since the functions are inverses and so are reflections and mirror images of each other in the y=x line, if they intersect at any point, they will intersect in the line y=x. So you can just let f(x)=x and solve or you could even let f^-1(x)=x and then solve.


thank you very much

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