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 `ax +- bt` or `x - vt` or `x + vt`,i.e. `y = f (x +- vt)`. Is the converse true? Examine if the folliwing function for `y` can possibly represent a travelling wave
(a) `(x - vt)^(2)`
(b) `log[(x + vt)//x_(0)]`
(c) `1//(x + vt)`

Explanation

To determine if the given functions can represent a traveling wave, we need to examine whether they can be expressed in the form \( y = f(x \pm vt) \) and whether they yield finite values for all \( x \) and \( t \).

### Step-by-Step Solution:

1. **Understanding the Form of Traveling Waves**:
A traveling wave can be expressed as \( y = f(x \pm vt) \), where \( v \) is the wave speed. This means that the function must be finite for all values of \( x \) and \( t \).

2. **Analyzing Function (a)**:
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