Question

I’m having issues with finding the restriction of the equation in the photo

Answer 1

x = 9

Explanation:

Restricted value of the expression

1. Simplify the equation.
2. Set the denominator to 0.
3. Solve and find the solution.
4. The solution is the restricted value of the equation.

`\sf ((x +7)(x+8))/((x -9(x + 6)) \ / \ ((x+8)(x - 2))/((x+ 6)(x - 2)) =((x +7)(x+8))/((x -9)*(x +6))*((x + 6)(x - 2))/((x +8 )(x - 2))`

`\sf =(x +7)/(x - 9)`

x - 9 = 0

x = 9

If we plugin x = 9, then the denominator would become 0 and hence the expression will become undefined.

So, x = 9 is the restricted value of the expression.