The function that "reverses" function is called an inverse. In other words, if f(x) of y, then putting y into the inverse of f of x.
If function (f(x) = 3x+2) and need to find its inverse function, [tex]g(x)[/tex], then could use composition property:
[tex]\to f(g(x)) =x\\\\\ \to f(g) = 3g +2 = x[/tex]
Then you can find [tex]g = \frac{(x-2)}{3}[/tex] or [tex]g = (\frac{1}{3})x -\frac{2}{3}[/tex] by solving for d.
The equation [tex]f(g(x)) = x[/tex] means that two functions, [tex]\bold{\tex{f(x) \ \ and\ \ g(x) }}[/tex] are symmetric with respect to the line y = x.
Find out more about the inverse function here:
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