Question 1117120
<br>
Notice that another way to find the inverse of a simple function like this is to use the fact that an inverse function "un-does" what the function does.<br>
The given function takes the input value, multiplies it by 6, and subtracts 3.  To undo that, the inverse function needs to do the opposite operations in the opposite order: add 3 and divide by 6 --> {{{(x+3)/6}}} which is of course the same as the answer from the other tutor, {{{x/6+1/2}}}.<br>
Also notice that you don't need to find the inverse function to evaluate (f^-1)(-5).<br>
When you are asked to evaluate (f^-1)(-5), the definition of an inverse function tells you that you are to find the value of the input value for which the given function value is -5:<br>
{{{6x-3 = -5}}}
{{{6x = -2}}}
{{{x = -1/3}}}<br>
This is the same answer you get if you evaluate the inverse function at -5:<br>
{{{(-5+3)/6 = -2/6 = -1/3}}}