The function f(x) is defined on [0, 1]. Find domain of definition of (tan x), f (sin x), f(2x - 3).

Explanation

To solve the problem step by step, we will find the domain of the functions \( \tan x \), \( f(\sin x) \), and \( f(2x - 3) \) given that \( f(x) \) is defined on the interval \([0, 1]\).

### Step 1: Find the domain of \( \tan x \)

The function \( \tan x \) is defined for all \( x \) except for \( x = \frac{\pi}{2} + n\pi \) where \( n \) is any integer. However, since we are interested in the interval \([0, 1]\), we need to check the values of \( \tan x \) within this interval.

1. **Calculate \( \tan(0) \)**:
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