Hello! I was doing some math problems... and I have come across something! every time i solve f(g(x)) and g(f(x)) they are equal to x. what is the relationship between functinos f and g?
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Originally Posted by habibixox Hello! I was doing some math problems... and I have come across something! every time i solve f(g(x)) and g(f(x)) they are equal to x. what is the relationship between functinos f and g? If f[g(x)] = g[f(x)] = x, then f and g are inverses.
Originally Posted by skeeter If f[g(x)] = g[f(x)] = x, then f and g are inverses. thank you! I have one more question. For a function to have an inverse, it has to pass the vertical and horizontal tests right?
For a relation to be a function it has to pass the vertical line test. For a relation to have an inverse it has to be a one to one function.
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