the inverse of the function f(x) = 3x/x + 2 is

the inverse of the function f(x) = 3x/x + 2 is....

a.  2x / 3 + y

b.   none of the options

c.   -2y / y - 3

d.  y - 2/3y
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Let y=3x/(x+2) then xy+2y=3x, 3x-xy=2y, x=2y/(3-y). The inverse function is therefore 2x/(3-x). This can also be written -2x/(x-3) or -2y/(y-3). The variable name is just a placeholder for the function g(x) or g(y). Answer c.

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