RRB Government Jobs Exams

Find the domain of f o g.
Let f(x) = (x - 1)/(x + 5) and g(x) = 1/(x + 3).

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Let f(x) = (x - 1)/(x + 5) and g(x) = 1/(x + 3).
Find the composite function (f o g)(x). Function f is a function with inverse f -1. Function h is defined by h(x) = f(x) + k
where k is a constant. Express the inverse function of h in terms of f -1 and k.