Question

11 / (x - 1)^2

Find all numbers for which the rational expression is not defined.

Answer 1

The rational expression will be undefined if the denominator is equal to zero. So you have to find the zeros of the denominator.

Answer 2

(x - 1)^2 is the denominator

when is the denominator equal to zero?

Answer 3

aren't they not supposed to have equal to 0

Answer 4

the denominator is not supposed to be equal to zero (to avoid division by zero)

but you're looking for the values that make the rational expression undefined, so you need to set the denominator equal to 0 and solve

Answer 5

once you know which values make the expression undefined, then you know which values to exclude from the domain

Answer 6

so would solving it be like this x -1=0 ?

Answer 7

that's one step yes

Answer 8

you want to fully isolate x

Answer 9

so i end up with x = 1 ?

Answer 10

that value makes the denominator 0

so that value makes the rational expression undefined

Answer 11

so I did it correctly? :)

Answer 12

you did, nice work

Answer 13

Thank you HIm like always :) ur the best

Answer 14

you're welcome