Question

Help me please. i need help its for math

Answer 1

When
`x=-6,` the value of the expression becomes undefined so it is the non-permissible replacement for the expression.

Explanation:

Step 1:

To determine the non-permissible replacement we substitute x with the values of 6, 3, -3, and -6.

When
`x=6, (3-x)/(6+x) = (3-6)/(6+6)=-(3)/(12) = -(1)/(4)`,

When
`x=3, (3-x)/(6+x) = (3-3)/(6+3)=(0)/(9)=0`,

When
`x=-3, (3-x)/(6+x) = (3-(-3))/(6+(-3))=(6)/(3) =2,`,

When
`x=-6, (3-x)/(6+x) = (3-(-6))/(6+(-6))=(9)/(0)`, any value, when divided by a zero, becomes undefined.

Step 2:

The values of options a, b, and c all have numerical values.

When
`x=-6,` the value of the expression becomes undefined so it is the non-permissible replacement for the expression.