Question

What are the domain and range of the function y equals 2 start root 3x plus 4 end root minus 5?
A. lower x greater-than-or-equal-to negative four-thirds semi-colon lower y greater-than-or-equal-to negative 5
B. lower x greater-than-or-equal-to four-thirds semi-colon lower y greater-than-or-equal-to negative 5
C. lower x less-than-or-equal-to negative four-thirds semi-colon lower y less-than-or-equal-to negative 5
D. lower x great-than-or-equal-to negative four-thirds semi-colon lower y greater-than-or-equal-to 5

Answer 1

geez - ever hear of actually typing in algebra notation?
y = 2√(3x+4) - 5
You need a domain where 3x+4 ≥ 0
and since y is increasing, the range is
[-5, ∞)