# Let f:Rise defined from R to R . find the solution of f(x) =f^-1 (x)?

##### 3 Answers

# f(x) = x #

#### Explanation:

We seek a function

That is we seek a function that is its own inverse. One obvious such function is the trivial solution:

# f(x) = x #

However, a more thorough analysis of the problem is of significant complexity as explored by Ng Wee Leng and Ho Foo Him as published in the Journal of the Association of Teachers of Mathematics.

https://www.atm.org.uk/journal/archive/mt228files/atm-mt228-39-42.pdf

Check below.

#### Explanation:

The points in common between

graph{((y-(1-x^2))sqrtx)=0 [-7.02, 7.03, -5.026, 1.994]}

They are however in the bisector only and only if

If

If

#### Explanation:

so

We need to solve the equation