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Let f: RvecRa n dg: RvecR be two one-one...

Let `f: RvecRa n dg: RvecR` be two one-one and onto function such that they are the mirror images of each other about the line `y=adotIfh(x)=f(x)+g(x),t h e nh(x)` is one-one and onto only one-one and not onto only onto but not one-one neither one-one nor onto

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y = f(x) and y = g(x) are mirror image of each other about y = a.
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For some `x = b, g(b) - a - f(b)`
` rArr f(b) + g(b) = 2a`
` rArr h(b) = f(b) + g(b) = 2a` (constant)
Hence h (x) is a constant function. Thus, it is neither one-one, nor onto.
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