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Two functions are defined as under : f(x...

Two functions are defined as under : `f(x)={(x+1, x le 1), (2x+1, 1 < x le 2):}` and `g(x)={(x^2, -1 le x le 2), (x+2, 2 le x le 3):}` Find `fog` and `gof`

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To solve the problem of finding \( f \circ g \) and \( g \circ f \) given the functions \( f(x) \) and \( g(x) \), we will follow these steps: ### Step 1: Define the Functions The functions are defined as follows: - \( f(x) = \begin{cases} x + 1 & \text{if } x \leq 1 \\ 2x + 1 & \text{if } 1 < x \leq 2 \end{cases} \) ...
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