What is the domain of
y = sqrt(5 - x)
To find the domain of the function y = sqrt(5 - x), we need to consider the values of x for which the function is defined.
The square root function (√) is defined only for non-negative values. That means the expression inside the square root (√5 - x) must be greater than or equal to zero.
So we set up the inequality: 5 - x ≥ 0
Next, we solve the inequality for x:
5 - x ≥ 0
x ≤ 5
Therefore, the domain of the function y = √(5 - x) is all real numbers where x is less than or equal to 5. In interval notation, we can represent this as (-∞, 5].
and the range please!
√u is only defined where u>=0.
so, √(5-x) is only defined where 5-x >= 0.
Thus, the domain is all reals x <= 5.