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MathNet 2019-part-06 — 184 problems (EN–VI) Question 126

Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)

Question 126

The functions $f(x)=\log_{3}(x+3)+1$ and $g(x)=\log_{3}(3x)+1$ are given.

a) Find the abscissa of the intersection point of the given functions.

b) Compute the zero and the initial value (the $y$-intercept), and write the equation of the asymptote for both functions. Draw both functions in the same coordinate system.