SOLUTION: I am having difficulty with functions, can someone please help. Determine which functions are inverse to each other. f(x)=6x, g(x)=x/6, h(x)=6/x Thank you

Algebra ->  Functions -> SOLUTION: I am having difficulty with functions, can someone please help. Determine which functions are inverse to each other. f(x)=6x, g(x)=x/6, h(x)=6/x Thank you       Log On


   

Question 101230: I am having difficulty with functions, can someone please help. Determine which functions are inverse to each other. f(x)=6x, g(x)=x/6, h(x)=6/x
Thank you
Found 2 solutions by MathLover1, edjones:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=6x
x=g%28x%29%2A6
now both sides divide by 6
x%2F6=g%28x%29%2A6%2F6
so, iverse function is:
g%28x%29=1%2F6%2Ax
definition:
If ƒ is a function whose domain is the set X, and whose range is the set Y, then the inverse of ƒ is the function ƒ–1 with domain Y and range X, defined by the following rule:

if y=f(x), then f%5E-1%28y%29=x

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
6x and x/6
When you form a composition of f with f^-1 or f^-1 with f you get the identity function.
f%28f%5E-1%28x%29%29=6%28x%2F6%29=x(the identity function)
Ed