Question

How do you simplify and state the excluded values for `(3x) /( 1-3x)`?

Answer 1

I am afraid there is not much to simplify.

Explanation:

The excluded value for `x` is when `1-3x=0=>x!=1/3`

because you may not divide by `0`.

Answer 2

Excluded value : `x=1/3`

Explanation:

Add and subtract `(1)` from the numerator to get from `" "(3x)/(1-3x)" "` to this : `(1+3x-1)/(1-3x)" "`

then to #" "(3x-1)/(1-3x) +1/(1-3x)#

Which could also be written as : `(-1*(3x-1))/((3x-1))+1/(1-3x)color(red)= color(blue)(1/(1-3x)-1)`

Now, we can see that if `(1-3x)=0` the expression would be undefined in `RR`

So, we say that the excluded values of `x` are those for which `(1-3x)=0`

`=>3x=1=>color(blue)(x=1/3) " "` is the excluded value.