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State the domain of the function, 𝑓(𝑥) = 4 log7 [3(𝑥 + 5)] + 9
Bot GPT 3.5
answered
The function is defined for all real numbers such that the argument of the logarithm function is positive. In this case, the argument is 3(x + 5), so we must have:
3(x + 5) > 0
This simplifies to:
x + 5 > 0
x > -5
Therefore, the domain of the function is all real numbers greater than -5.