Question

confirm that f and g are inverses by showing that f(g(x))=x and g(f(x))=x. f(x)=2/x and g(x)=2/x

Answer 1

To give you two different examples, let f and g be functions defined as follows:

f(x)=x + 5/6
g(y)=6y - 5

(I took the liberty of using y in the definition for g)

Then you verify as follows:

g(f(x)) = g(x + 5/6)
= 6(x + 5/6)-5
= 6x + 5 - 5
= 6x

In this case, f and g are not inverses of each other.

Now, if you were to find that g(f(x)) = x, you are halfway home. The other half is showing that f(g(y)) = y. got it from yahoo answers