Homework Help: College Algebra

Posted by Jennifer on Sunday, January 1, 2012 at 6:01pm.

verify that the functions of f and g are inverse of each other by showing that f(g(x))=x and g(f(x))=x; f(x)=In(x-1),g(x)=1+e^x

College Algebra - Steve, Sunday, January 1, 2012 at 6:49pm
what's the problem? Just plug and chug:

f(g) = ln(g-1) = ln(1+e^x-1) = ln(e^x) = x
g(f) = 1+e^f = 1 + e^(ln (x-1)) = 1 + x-1 = x

Just keep in mind the definition of a logarithm:

e^lnx = x
ln e^x = x

Answer this Question

Related Questions

College Algebra - Verify the function f and g, are inverses of each other by ...
College Algebra - Verify that the function f and g, are inverses of each other ...
algebra - Verify that the functions f and g are inverses of each other by ...
math - verify that the function f and g are inverse of each other by showing f(g...
Precalculus - Verify that the functions f and g, are inverses of each other by ...
pre calculus - verify functions f and g are inverses of each other by showing ...
precalculus - verify the functions are inverses of each other by showing that f(...
math - verify that f and g are inverse functions. f(x) = 5x^2 x>(or equal...
Algebra-Functions - Could you please check my answers and help me with two ...
algebra II - How do you verify inverses? the question is y=3x-3... we know how ...

For Further Reading

First Name:
School Subject:
Answer: