SOLUTION: determine if g is the inverse of f. http://i.imgur.com/1MxQxiX.png f(x)=2x-3/x+4; g(x)=3 + 4x/2 - x

Algebra ->  Inverses -> SOLUTION: determine if g is the inverse of f. http://i.imgur.com/1MxQxiX.png f(x)=2x-3/x+4; g(x)=3 + 4x/2 - x       Log On


   

Question 939681: determine if g is the inverse of f.
http://i.imgur.com/1MxQxiX.png
f(x)=2x-3/x+4; g(x)=3 + 4x/2 - x
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
The way to express the functions in pure text is like this:

f(x)=(2x-3)/(x+4) and g(x)=(3+4x)/(2-x)

Surrounding each with the triple curly brace rendering tags gives the expected appearance,
f%28x%29=%282x-3%29%2F%28x%2B4%29 and g%28x%29=%283%2B4x%29%2F%282-x%29



To answer the question, you have a couple of choices.

Form their composition and simplify. Is the result, x ?

OR

Select one of the functions. Let the function name be y, switch x and y, and solve for y. Is this result equivalent to the other function ?