Question

Find the nonpermissible replacement for y inthis expression.(y +3)/(y-1)

Answer 1

To find the nonpermissible replacement for y in the expression;

`(y+3)/(y-1)`

The nonpermissible replacement for y is the replacement for y at which the denominator of the expression is zero. (when the denomenator is zero, the final value can not be determined).

For the given expression, the denomenator is;

`y-1`

For y to be nonpermissible, the denometor must be equal to zero.

`y-1=0`

To get y, add 1 to both sides.

`\begin{gathered} y-1+1=0+1 \\ y=1 \end{gathered}`

At y =1, the expression becomes;

`(y+3)/(y-1)=(1+3)/(1-1)=(4)/(0)\rightarrow\text{ nonpermissible }`

Therefore, the nonpermissible replacement for y in the given expression is;

`y=1`