Answer:
Inverse function are symmetric with respect to line y=x.
It can be written as:
[tex]f(f^{-1})(x) = x[/tex] and [tex]f^{-1}(f)(x)[/tex]
Let's rewrite the given function notation by using y term.
f(x) = 6x-1
i.,e y = 6x-1
Let's solve this equation for x;
Add 1 to both sides we get;
y+1 =6x
Divide both sides by 6 we get;
[tex]x = \frac{y+1}{6}[/tex]
Now, switch the "x" and "y" we have;
[tex]y= \frac{x+1}{6}[/tex]
In the function notation:
[tex]f^{-1}(x) =\frac{x+1}{6}[/tex]
