The graph, y=lg x is rotated 90 degrees anticlockwise around the origin. What is the equation of the new graph? Please provide proof.

1 answer

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/