Which of the following pairs of functions are inverses of each other? A) f (x) = 2x-9 and g (x) = (x+9) / (2) B) f (x) = (2) / (x) - 6 and g (x) = (x+6) / (2) C) f (x) = (x) / (3) + 4 and g (x) = 3x-4 D) (x) = 5+/root (3) (x) and g (x) = 5-x^ (3)

Question

Lindsey Joyce

Mathematics

30 October, 05:28

Which of the following pairs of functions are inverses of each other? A) f (x) = 2x-9 and g (x) = (x+9) / (2) B) f (x) = (2) / (x) - 6 and g (x) = (x+6) / (2) C) f (x) = (x) / (3) + 4 and g (x) = 3x-4 D) (x) = 5+/root (3) (x) and g (x) = 5-x^ (3)

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Answers (1)

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Camryn Cain · Answer 1

A) f (x) = 2x-9 and g (x) = (x+9) / (2)

Step-by-step explanation:

f (g (x)) = x for inverses

A) f (x) = 2x-9 and g (x) = (x+9) / (2)

2 (x+9) / 2) - 9 = Canceling the 2 x+9 - 9 = x inverse

B) f (x) = (2) / (x) - 6 and g (x) = (x+6) / (2)

2 / (x+6) / 2) - 6 = 4 / (x+6) - 6 This will not give me x

C) f (x) = (x) / (3) + 4 and g (x) = 3x-4

(3x+4) / 3 - 4 = x + 4/3 - 4 This will not give me x

D) (x) = 5+/root (3) (x) and g (x) = 5-x^ (3)

5 + cuberoot (5-x^3) This will not give me x back