Does a travelling wave in one dimension represented by a function of a linear combination of x and t,i.e., `y=f(ax+-bt)` represented a travelling wave?

A travelling wave is represented by

You have learnt that a travelling wave in one dimension isrepresented by a function y = f (x, t) where x and t must appear in the combination x-vt or x + vt, i.e. y = f (x +- v t) . Is the converse true? Examine if the following functions for y can possibly represent a travelling wave : 1//(x +vt)

Which of the following represent a travelling wave ?

Which of the following represent a travelling wave ?

You have learnt that a travelling wave in one dimension is represented by a function y= f(x, t) where x and t must appear in the combination x-v t or x + v t , i.e., y= f (x +- v t) . Is the converse true? Examine if the following functions for y can possibly represent a travelling wave: (a) (x-vt)^(2) (b) log [(x + vt)//x_(0)] (c ) 1//(x + vt)