Let function f: R → R be defined by f(x) = 2x + sin x for x ∈ R. Then f is
Answer & explanation
Correct answer: option 1
As $–∞<2x<∞$
So $–∞<2x+\sin x<∞$ for $x∈R$
$f'(x)=2+\cos x>0$ (always increasing)
So f(x) is one-one and onto
Let function f: R → R be defined by f(x) = 2x + sin x for x ∈ R. Then f is
Correct answer: option 1
As $–∞<2x<∞$
So $–∞<2x+\sin x<∞$ for $x∈R$
$f'(x)=2+\cos x>0$ (always increasing)
So f(x) is one-one and onto