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Determine if the pair of functions are inverses.

Determine if the pair of functions are inverses.-example-1
User MatteoS
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To determine if two functions are inverses, we have to compose the functions into each other and get a value of x.

f(g(x)) =
3(\sqrt{(x - 12)/(3) })^(2) - 12

The square root and the square cancel each other out.

f(g(x)) =
3((x - 12)/(3)) - 12

The 3's cancel each other out.

f(g(x)) = x - 12 - 12 = x - 24

since f(g(x)) = x - 24, these two functions are not inverses of each other.

User Sebastian Brandes
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