Please Clearly show all work. And I need all steps.
1) Determine if the function f defined by f(x) = x2 – 4x + 7 has an inverse.
(Hint: A function has an inverse if and only if it is one-to-one).
2) Show that the functions f and g defined by f(x)= x/x+1 and g(x)= x/x-1 are inverses. (Hint: Find the inverse of f(x) and find the inverse of g(x)).
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