More Functions

Inverse Functions

It’s possible for a function to have an inverse function. in order for there to be an inverse function, the base function must satisfy the horizontal test, meaning for every $y$ value, theres only one possible $x$ value. Because if that, each pair of numbers must not repeat.

Because of that, you get some interesting phenomenon!

For example, they are always mirrored on the $y=x$ axis!

Also, if you have the point $(a,b)$ on on function, on the mirrored function you’ll have the point $(b,a)$

[!info|ttl-c] Graph

height=300  
width=300  
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f(x)=\sqrt{x}  

Graph