Question

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

Answer 1

Answer:

3

Step-by-step 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.