# How do you find the inverse of #f(x) = 4/x# and is it a function?

The inverse is

First, let's assign a variable to the value of the function

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To find the inverse of ( f(x) = \frac{4}{x} ), interchange ( x ) and ( y ) and solve for ( y ):

[ x = \frac{4}{y} ]

[ xy = 4 ]

[ y = \frac{4}{x} ]

So, the inverse function is ( f^{-1}(x) = \frac{4}{x} ).

Yes, it is a function since for every input ( x ), there is exactly one output ( y ).

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