Question 1104762
<br>
The other tutor showed you the formal algebraic method for finding the inverse: switch the x and y and solve for the new y.<br>
Here is an alternative method that can often be used to find the inverse of relatively simple functions.  In cases where it can be used, it is usually a lot less work and therefore much faster than the algebraic method.<br>
This method is based on the concept that the inverse function "undoes" what the function does.<br>
What does the given function do to the input value?  It
(1) multiplies it by 7  and then
(2) subtracts 5<br>
To undo that, the inverse function has to do the opposite operations, in the reverse order.  So what the inverse function has to do to its input is
(1) add 5  and then
(2) divide by 7<br>
So the inverse function is
{{{y = (x+5)/7}}}
or
{{{y = x/7+5/7}}}