For a real number $x>1$,$\frac{1}{log_{2}x}+\frac{1}{log_{3}x}+\frac{1}{log_{4}x}=1$

Which one of the following options represents the given graph?

Consider the function f:R→R defined as f(x)=2x3-3x2-12x+1.Which of the following statements is/are correct? (Here, R is the set of real numbers.)