find the inverse of the function
f(x) = -1 -1/5 x
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Given .
To find the inverse, first, we change to , and then make the subject of the formula.
Thus we have, .
Multiplying through by 5 gives .
Adding 5 to both sides gives .
Multiplying through by -1 gives .
Finally, we change the variable to , and to , to get .
Therefore, the inverse of the given function is .