1.

If f:R rarr R and f(x)=g(x)+h(x) where g(x) is a polynominal and h(x) is a continuous and differentiable bounded function on both sides, then f(x) is one-one, we need to differentiate f(x). If f'(x) changes sign in domain of f, then f, if many-one else one-one. If f:R rarr R and f(x)=2ax +sin2x, then the set of valuesof a for which f(x) is one-one and onto is

Answer»

`a in (-1/2,1/2)`
`a in (-1,1)`
`a in R -(-1/2,1/2)`
`a in R-(-1,1)`

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