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irspow
Keep in mind that an inverse function is simply the reversal of the x and y coordinates of the parent function.  For every (x,y) of the parent function, the inverse function has a point (y,x).  With the conceptual part out of the way, finding the inverse function is relatively straight forward.  If:

y=5x  then the inverse function will be what you have when you solve for x and then reverse the variable labels...ie.

y=5x so

x=y/5  now reverse the variable labels...

y=x/5  this is the inverse function of y=5x or as your problem notation stated:

f^-1(x)=x/5
f(x) = 5x. What is the value of f(-1).


You just plug (-1) in x


f(-1) = 5(-1)

f(-1) = -5
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