Answer:
Step-by-step explanation:
1). f(z) = [tex]\sqrt{z-5}[/tex]
The given function 'f' is defined for (z - 5) ≥ 0
z ≥ 5
Therefore, domain of the function will be [5, ∞)
Or "All real numbers greater than or equal to 5"
2). [tex]f(z)=\frac{1}{z-8}[/tex]
Domain: "All real numbers except 8."
Since the given function is not defined for z = 8
3). f(z) = [tex]\sqrt{z}[/tex]
The given function is defined for every real numbers greater and equal to zero.
Domain: "All positive real numbers and 0"
4). f(x) = 8x
This function is defined for all real numbers.
"Domain: All real numbers"
