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If f (x) = 5x and g (x )= (x/5) are inverses of one another, what is the value of f(g(3))?

1 Answer

5 votes

Answer:

3

Explanation:

Inverse functions "undo" each other. f(g(3)) = 3, the number you start with.

To see this in the context of this problem...

g(3) = 3/5, f(g(3)) = f( 3/5 ) = 5(3/5) = 15/5 = 3.

g changes the input 3 to its output 3/5. f changes input 3/5 back to the original value 3

Real-life inverses: lock/unlock code a message/decode a message.

User KryptoniteDove
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