Friday

September 19, 2014

September 19, 2014

Posted by **Priya** on Sunday, May 22, 2011 at 11:52am.

f(x)=(1 / 3)^x?

I think the answer is

f-1(x)= log base 1/3 of x, but i know im wrong... please help!!! THANK YOU

- math -
**MathMate**, Sunday, May 22, 2011 at 12:27pmThree steps to finding the inverse:

1. interchange x and y.

2. solve for y in terms of x.

3. evaluate f^{-1}(f(x)) to verify that it gives x as the result.

0. y=(1/3)^x

1. x=(1/3)^y

2. log(x)=ylog(1/3)

=> y=log(x)/log(1/3)=-log(x)/log(3)

or

f^{-1}(x)=-log(x)/log(3)

3.

y(f(x))

=y((1/3)^x)

=-log((1/3)^x)/(log(3)

=-xlog(1/3)/log(3)

=x OK

- math -
**Priya**, Sunday, May 22, 2011 at 12:42pmTHANKS ALOT... I GET IT NOW!!!!!!

- math :) -
**MathMate**, Sunday, May 22, 2011 at 3:32pmYou're welcome!

**Answer this Question**

**Related Questions**

Math - these are some problems i do not get any help is appreciated. These are ...

Algebra 2 - -Explain the difference between log base b (mn) and ( log base b of ...

Algebra 2 - I am trying to find the inverse of these functions. Can someone ...

Calculus - Find the inverse of each relation: y = (0.5)^(x+2) and y = 3log base ...

Inverse of log function - Find the inverse of f(x) = log(2+x) - 4 the base is "a...

math - Could you show me step by step how to find the inverse of this problem: ...

Review of Logs - I can't seem to get the answer to this; the answer key says log...

Advanced Functions/ Precalculus Log - 1. Evaluate 4^(log base4 64) + 10^(log100...

chemistry - Please, can someone help? Evaluate log 1. This is my work up until I...

log graph - How do you graph y= -log (base 5)(-x)? The written question is: ...