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Let f and g be two real functions given ...

Let f and g be two real functions given by
`f={(0,1),(2,0),(3,-4),(4,2),(5,-1)}`
and `g={(1,0),(2,2),(3,-1),(4,4),(5,3)}`
then the domain of `f*g` is given by ..........

Text Solution

AI Generated Solution

To find the domain of the composite function \( f \circ g \) (which is often denoted as \( f * g \) in this context), we need to follow these steps: ### Step 1: Identify the Domain of Each Function First, we need to identify the domains of the functions \( f \) and \( g \). - For function \( f \): The pairs given are \( (0,1), (2,0), (3,-4), (4,2), (5,-1) \). The domain of \( f \) consists of the first elements of these pairs: ...
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Knowledge Check

  • The inverse of f={(1,2),(2,3),(3,4),(4,1),(5,2)} would be a function if the domain of f is limited to

    A
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    B
    {1,2,3,4}
    C
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    D
    {1,2,4,5}

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