Round-Tip Theorums
| October 22, 2006. I understand the inverse functions but if I am putting it in the calculator how do I do it? and I sort of understand the theorum but could someone clarify for me? thanks. melissa |
posted by melishappy at 8:23 PM
3 Comments:
Well one useful thing I remember is to find an inverse of a function, switch x with y and then solve for y. For example, 5-2x^3=y becomes 5-2y^3=x. Then you solve the new equation for y.
Oh woops that wasnt really your question was it. Ok so you put f(x) in for all the x variables in g function, and then solve that for g(x). If it ends up equaling x then g(x) is the inverse of f(x). I hope that made sense.
To clarify Paul's second comment: the RTT says that f & g are inverses if and only if f(g(x)) = g(f(x)) = x for all x in the domain. So you can use the RTT by doing algebra to simplify the expression you get for f(g(x)) and showing that f(g(x)) = x, and similarly for g(f(x)) = x.
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