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

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?

The population of a city grows at a rate of 2,000 people per year. If the population is initially 100,000 people, which of the following equations represents the population (P) in terms of the number of years (t)?