what is the domain of 6/(6-5x)
can x be 6/5?
All real number except 6/5 because if you plug-in 6/5, the denominator will be 0, and it's not valid mathematically...
go to the head of the class.
To find the domain of the function 6/(6-5x), we need to determine which values of x are allowed. The domain is the set of all possible values of x for which the function is defined.
In this case, we need to ensure that the denominator, 6-5x, is not equal to zero. Dividing by zero is undefined in mathematics.
So, we set 6-5x ≠ 0 and solve for x:
6 - 5x ≠ 0
Adding 5x to both sides:
6 ≠ 5x
Dividing both sides by 5:
6/5 ≠ x
Therefore, the domain of the function 6/(6-5x) is all real numbers except x = 6/5.