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Anika [276]
3 years ago
15

PLEASE HELP! If f(x) and g(x) are inverse functions of each other, which of the following statements is true?

Mathematics
1 answer:
ruslelena [56]3 years ago
4 0

Answer:

(g•f)(x) = x.

Step-by-step explanation:

Let f(x) = x^{2} + 1, then the inverse function of the f(x) is g(x) = \sqrt{x - 1}

So, (g•f)(x) = g[f(x)] = g(x^{2} + 1 ) = \sqrt{(x^{2} + 1) - 1} = \sqrt{x^{2} } = x

Therefore, we can write if f(x) and g(x) are inverse functions of each other, then (g•f)(x) = x.

Hence, option D is correct. (Answer)

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