Question

State if the given functions are inverses. f(x) = 1/x + 3 g(x) = 4/x + 2

Answer 1

Answer:

  they are not inverses

Step-by-step explanation:

f(1) = 1/1 +3 = 1 +3 = 4

g(4) = 4/4 +2 = 1 +2 = 3 ≠ 1

If the functions were inverses, we would have g(f(1)) = 1, which we do not.

The given functions  are not inverses.

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The same would be true if your functions were

  f(x) = 1/(x+3) and g(x) = 4/(x+2)

  f(1) = 1/(1+3) = 1/4

  g(1/4) = 4/(1/4 +2) = 4/(9/4) = 16/9 ≠ 1