Asked by Yu
The graph, y=lg x is rotated 90 degrees anticlockwise around the origin. What is the equation of the new graph? Please provide proof.
Answers
Answered by
Steve
90° clockwise rotation takes (x,y)->(-y,x)
so, (x,lg x) -> (-lg x,x)
That is, (1/x,e^x) or (x,e^-x)
enter those two functions
log(x)
e^(-x)
at
http://rechneronline.de/function-graphs/
so, (x,lg x) -> (-lg x,x)
That is, (1/x,e^x) or (x,e^-x)
enter those two functions
log(x)
e^(-x)
at
http://rechneronline.de/function-graphs/
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