Question 113822
{{{ graph( 500, 500, -10, 10, -10, 10, 3^x, log(3,x)) }}} Graph of {{{3^x}}} (red) and it's inverse {{{log(3,(x))}}} (green)



So we can see from the graph of {{{3^x}}} we can see...


f:
 

Domain: all real numbers,
 

Range=*[Tex \LARGE \left(0,\infty\right)], 


Asymptotes: no vertical, horizontal at {{{y=0}}}


Intercepts: x-int=none, y-int=(0,1)




And we can see from the graph of {{{log(3,(x))}}} we can see...


{{{f^(-1)}}}:
 

Domain: *[Tex \LARGE \left(0,\infty\right)],
 

Range=all real numbers, 


Asymptotes: vertical at {{{x=0}}}, no horizontal, 


Intercepts: x-int=(1,0) y-int=none



Notice how everything switched from the graphs {{{f}}} to {{{f^(-1)}}}