Here we have , f(x) = y= 7x-6
To find the inverse function of the given function, we need to follow some steps, which are:
First we need to switch x and y, that is
x= 7y-6
Next step is to solve for y, and for that, we need to add 6 to both sides
x+6=7y
Dividing both sides by 7, that is
[tex] y = \frac{x+6}{7} [/tex]
Therefore,
[tex] f^{-1}(x)= \frac{x+6}{7} [/tex]
