Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you find the inverse of #f(x)=x/(x+3)#?

1 Answer

Oct 27, 2015

Note that if #g(x)# is the inverse of #f(x)#
then #f(g(x)) = x#
Solve #f(g(x)) = g(x)/(g(x)+3) = x# for #g(x)#

Explanation:

Substituting #g(x)# for #x# in the original definition of #f(x)#

#f(g(x)) = g(x)/(g(x)+3) = x#

#g(x) = x*g(x) + x*3#

#g(x)-g(x)*x = 3x#

#g(x)(1-x) = 3x#

#g(x) = (3x)/(1-x)#

Related questions

See all questions in Introduction to Twelve Basic Functions

Impact of this question

1352 views around the world

You can reuse this answer
Creative Commons License