Question

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

Answer 1

Answer:

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;

$x = \frac{y+1}{6}$

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

$y= \frac{x+1}{6}$

In the function notation:

$f^{-1}(x) =\frac{x+1}{6}$