If f:R-R, and f(x)=ax + sinx +a, then f(x) is one-one function if a belongs to R f(x) is one-one function if a belongs to R -[-1,1] f(x) is one-one function if a belongs to R – {0} f(x) is one-one function if a belongs to R – {-1}

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If f:R->R, and f(x)=ax + sinx +a, then f(x) is one-one function if a belongs to R f(x) is one-one function if a belongs to R -[-1,1] f(x) is one-one function if a belongs to R – {0} f(x) is one-one function if a belongs to R – {-1}

Arun · Answer

Dear student f’(x) = a + cos x hence its value is always between a – 1 to a + 1 if a> 1 then f(x) is increasing function hence one one

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If f:R->R, and f(x)=ax + sinx +a, then f(x) is one-one function if a belongs to R f(x) is one-one function if a belongs to R -[-1,1] f(x) is one-one function if a belongs to R – {0} f(x) is one-one function if a belongs to R – {-1}

If f:R->R, and f(x)=ax + sinx +a, then

f(x) is one-one function if a belongs to R
f(x) is one-one function if a belongs to R -[-1,1]
f(x) is one-one function if a belongs to R – {0}
f(x) is one-one function if a belongs to R – {-1}

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If f:R->R, and f(x)=ax + sinx +a, then f(x) is one-one function if a belongs to R f(x) is one-one function if a belongs to R -[-1,1] f(x) is one-one function if a belongs to R – {0} f(x) is one-one function if a belongs to R – {-1}

If f:R->R, and f(x)=ax + sinx +a, then f(x) is one-one function if a belongs to Rf(x) is one-one function if a belongs to R -[-1,1]f(x) is one-one function if a belongs to R – {0}f(x) is one-one function if a belongs to R – {-1}

1 Answers

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If f:R->R, and f(x)=ax + sinx +a, then

f(x) is one-one function if a belongs to R
f(x) is one-one function if a belongs to R -[-1,1]
f(x) is one-one function if a belongs to R – {0}
f(x) is one-one function if a belongs to R – {-1}