Find the domain of the following function: \(\displaystyle{f{{\left({x}\right)}}}={\ln{{\left({2}{\tan{{\left({3}{x}+{\frac{{\pi}}{{{3}}}}\right)}}}-{2}\right)}}}.\) The

Julian Peck

Julian Peck

Answered question

2022-04-12

Find the domain of the following function:
f(x)=ln(2tan(3x+π3)2).
The first step that I done is that f(x) is more than 0.
Then I got to: 1<tan(3x+π3)

Answer & Explanation

lildeutsch11xq2j

lildeutsch11xq2j

Beginner2022-04-13Added 13 answers

Using the trigonometric circle, we have
tan(3x+π3)>1
π4+kπ<3x+π3<π2+kπ
π36+kπ3<x<π18+kπ3

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