SOLUTION: I'm trying to solve the following: f(x)= 1 devided by (3x+1)^5 How is this solved? does it have a special name,I mean the type of problem? Id like to search f

Algebra ->  Functions -> SOLUTION: I'm trying to solve the following: f(x)= 1 devided by (3x+1)^5 How is this solved? does it have a special name,I mean the type of problem? Id like to search f      Log On


   



Question 709500: I'm trying to solve the following:
f(x)= 1 devided by
(3x+1)^5
How is this solved? does it have a special name,I mean the type of problem?
Id like to search for more to practice. thanx

Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
You are saying this:
f(x)= 1 devided by
(3x+1)^5

If you try to solve for x when f(x)=1, then you will have your answer.
f(x)=(3x+1)^5=1
What kind of number raised to any nonzero, non-one power give 1 as a result?

b^5=1, what must be b?
1^5=1, 1^-5=1, 1^30=1.....

If (3x+1)^5=1, then 3x+1=1. highlight%28x=0%29

ANOTHER ATTEMPT TO EXPLAIN:
The question seems to be, for f(x)=(3x+1)^5, what is x if %283x%2B1%29%5E5=1. Solve for x.
Take the root 5 of both sides,
3x%2B1=root%285%2C1%29
3x%2B1=1
Now subtract 1 from both sides,
3x=0
So what is x?