Question

If f(x) = 6x-1, find f1(x)

Answer 1

Inverse function are symmetric with respect to line y=x.

It can be written as:

`f(f^(-1))(x) = x` and
`f^(-1)(f)(x)`

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;

`x = (y+1)/(6)`

Now, switch the "x" and "y" we have;

`y= (x+1)/(6)`

In the function notation:

`f^(-1)(x) =(x+1)/(6)`