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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}
 

Grade:12th pass

1 Answers

Arun
25763 Points
2 years ago
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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