SOLUTION: Determine whether the functions f(x) = 6x and g(x) = x/6 are inverse functions.

Question 1082185: Determine whether the functions f(x) = 6x and g(x) = x/6 are inverse functions.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's find f(g(x)).

Start with the outer most function f(x)

Replace every copy of x with g(x)

Replace the g(x) on the right side with x/6

Simplify

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Now let's find g(f(x))

Start with the outer most function g(x)

Replace every copy of x with f(x)

Replace the f(x) on the right side with 6x

Simplify

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Since and for all real numbers x, this means that f(x) and g(x) are inverses of each other.
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