Answer: The domain of the function f(x) = log(-5x + 3) is the set of all real numbers x that make the argument of the logarithmic function positive.
Since the argument of the logarithmic function is -5x + 3, we must have:
-5x + 3 > 0
Solving for x, we get:
-5x > -3
x < 3/5
Therefore, the domain of the function f(x) = log(-5x + 3) is all real numbers x such that x < 3/5.
Step-by-step explanation: Hope this helps :D