Answer:
x = 0
Step-by-step explanation:
The distributive property of multiplication states that a(b - c) = a(b) - a(c). We can apply that to the given equation.
3(2 - x) = 6
3(2) - 3(x) = 6 (Apply distributive property on LHS)
6 - 3x = 6 (Simplify LHS)
6 - 6 - 3x = 6 - 6 (Subtract 6 from both sides)
-3x = 0 (Simplify both sides)
(Divide both sides by -3)
x = 0 (Simplify)
Hope this helps!
We know that a removable discontinuity occurs when:
The left and the right hand limit of the function exist at a point and are equal but is unequal to the function's value at that point.
Also it is a point on the graph such that it is undefined at that point.
The graph that has a removable discontinuity is attached to the answer.
Since, at x=0 the left hand and the right hand limit of the function exist but the function is not defined at x=0 , since in the graph there is a open circle at x=0 that means that the point is removed from the range.
