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f(x)= 1 / x-3 g(x)= 3x + 1/x A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions using interval notation. Please answer this worth 20 points

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Ankit221005

Step-by-step explanation:

(A) To find inverse of f(x) = y = 1 / x - 3 :

Transform in terms of x

y = 1 / x - 3

x - 3 = 1 / y

x = 3 + 1 / y

Exchange x with y :

[tex] {f}^{ - 1} (x) = 3 + \frac{1}{x} [/tex]

Therefore, g(x) is not inverse of f(x) and vice versa.

(B)

Domain of f(x) = R - {3}

Domain of g(x) = R - {0}

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