help with algebra?

Question

1) Is square root x squared =x (true for all values of x)? Explain your answer.

2). For the function, y= 1/x-1. Give the y values for x= -2,1,0,1,2,3. Show work please.

Answer 1

1) First, you can't square root a negative, so sqrt(-3) = impossible. sqrt and ^2 (squared) are inverse functions, they undo one another. The sqrt(49)=7, and 7^2=49, and sqrt(49)^2=49. This will work for all number > or = to zero.

2) Plug in x values:
y=1/-2-1=1/-3
y=1/-1-1=1/-2
y=1/0-1=1/-1=-1
y=1/1-1=1/0=undefined (impossible)
y=1/2-1=1/1=1
y=1/3-1= 1/2

Answer 2

1. When x is a negative number, it will not be true.
The square root of (-5)^2 = 5, not negative 5

2. Substitute
-1/3, undefined, -1,undefined (again), 1, 1/2

I'm thinking you mean -1 for the second value. In that case it's -1/2

Answer 3

I can only help with question # 2

x= -2; y=-1/3
x= 1; y= 0
x= 0; y= -1
x= 2; y = 1
x= 3; y= 1/2

Answer 4

1. No. sqrt (-3) squared is 3, not -3