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2 December, 10:26

Prove that f (x) = 2x+4 and g (x) = (x-4) / 2 are inverses of each other. Show your work.

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  1. 2 December, 10:29
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    Hello,

    As f (x) is a bijection, f^ (-1) (x) is also a function.

    if gof (x) = x then g^ (-1) * gof (x) = g^ (1) (x) = = >f (x) = g^ (-1) (x) f is the inverse of g

    g (f (x)) = g (2x+4) = ((2x+4) - 4) / 2=2x/2=x.
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