Domain functions and Algorithms
: Find the domain of the function: 𝑓(𝑥) = 𝑙𝑜𝑔4 (4 − 3𝑥).
solutions
Answer: x= 4/3, so the domain is (4/3, ∞)
Work:
We identify the argument which 4-3x, argument >0
4-3x>0,
solving for x, then -3x>-4
rewrite the domain function, 3x>4
x>4/3
Our domain is {x|x>4/3}
(4/3, ∞)