For the function f(x) = ( x² - 4)/(x - 2), determine the domain and range.

Consider the following relation:

{(1, 3), (2, 4), (3, 6), (4, 8), (5, 10)}

The above relation is a function with a domain and codomain specified as follows:

Domain: {1, 2, 3, 4, 5} Codomain: {3, 4, 5, 6, 7, 8, 9, 10}.

Consider the function f(x) = log₂(x - 2).

Which of the following options correctly represents the domain and range of the function?

If the composition of functions is well defined, which of the following is the value of fog (4) for the functions f(x) = -10x ^{3} +5 and g(x) = 5x ^{3/2}  

If f(x)= 5x⁴+10 and g(x) = \sqrt{x} , then for x ≠ 0, the value of f/g (x)= is 

Which of the following quadratic equations has no real solutions?