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Define injective, surjective and bijective functions. If R-> R and g:R->R defined by $f(x)= x + 2 \ \ and \ \ g(x) = x^2$. Find i) f o g o f ii) g o f o g
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Injective:

An injective function or injection or one-to-one function is a function that preserves distinctness: it never maps distinct elements of its domain to the same element of its codomain. In other words, every element of the function's codomain is the image of at most one element of its domain. …

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