What is the domain of:
~4:(4x-8)
To find the domain of the expression ~4:(4x-8), we need to consider any values that could make the expression undefined. In this case, we need to ensure that the denominator, (4x-8), does not equal zero.
If we set the denominator equal to zero and solve for x, we can find the value(s) that would make the expression undefined.
4x - 8 = 0
Adding 8 to both sides:
4x = 8
Dividing both sides by 4:
x = 2
So, x = 2 would be the value that makes the expression undefined. Therefore, the domain of ~4:(4x-8) is all real numbers except x = 2. In interval notation, we can express the domain as (-∞, 2) U (2, +∞).