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Lena [83]
3 years ago
10

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
Mathematics
1 answer:
Alisiya [41]3 years ago
7 0

Step-by-step explanation:

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

<u>Transform in terms of x</u>

y = 1 / x - 3

x - 3 = 1 / y

x = 3 + 1 / y

<u>Exchange x with y</u> :

{f}^{ - 1} (x) = 3 +  \frac{1}{x}

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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