Which of the following pair of functions are inverses of each other?

  see below

Step-by-step explanation:

If you can't tell by looking, you can evaluate g(f(x)) = f(g(x)) = x to see if it is true. You can do this using the expressions for f(x) and g(x), or you can do this using some chosen value for x, such as x=0 or x=1 or both.

Using x=0, the answer choices look like ...

  A: f(0) = (∛8)/7 = 2/7. Then g(2/7) = ((7(2/7)-8)³ = -6³ ≠ 0

  B: f(0) = 7·0³ +10 = 10. Then g(10) = ∛((10 -10)/7) = 0 . . . . possible answer

  C: f(0) = 2·0³ +12 = 12. Then g(12) = 12/2 -12 = -6 ≠ 0

  D: f(0) = ∛(0+2) -7 = -7+∛2. Then g(-7+∛2) = (-7+∛2 +2)³ +7 ≠ 0

The only viable choice is B.

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For choice B, we can work out the inverse of f(x) in detail:

  x = f(y) = 7y³ +10 . . . . . solve x=f(y) for y to find the inverse

  x -10 = 7y³ . . . . . subtract 10

  (x -10)/7 = y³ . . . . . divide by 7; next take the cube root

  ∛((x -10)/7) = y . . . . . matches g(x)

which expression can be used to convert 80 us dollars (usd) to australian dollars (aud)?

1 usd = 1.0343 aud

1 aud = 0.9668 usd

step-by-step explanation:

sorry just need the points

pay attention in your classes and concentrate the best thing you can do to raise your test scores is to pay attention when you're supposed to be learning the material: in class!

take good notes.

do your homework.

use mnemonics and other tricks.

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note: the best i know.