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Let f:R->R and g:R->R be two one-one and...

Let `f:R->R` and `g:R->R` be two one-one and onto functions such that they are mirror images of each other about the line `y=a`. If `h(x)=f(x)+g(x)`, then `h(x)` is (A) one-one onto (B) one-one into (D) many-one into (C) many-one onto

Text Solution

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`f(x)=a+h`
`g(x)=a-h`
`h(x)=f(x)+g(x)=a+h+a-h=2a`
`h(x)=2a`
option d is correct.
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