Answer :

False

Given that, f : R R be the function defined by


f (x) = sin (3x+2) x R


f is invertible if it is bijective that is f should be one-one and onto.


Now, we know that sin x lies between -1 and 1.


So, the range of f(x) = sin (3x+2) is [-1,1] which is not equal to its co-domain.


i.e., range of f ≠ R (co-domain)


In other words, range of f is less than co-domain, i.e there are elements in co-domain which does not have any pre-image in domain.


so, f is not onto.


Hence, f is not invertible.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

| Let * be a binaMathematics - Board Papers

Find the idMathematics - Board Papers

Let f : A Mathematics - Exemplar

Show that the binMathematics - Board Papers

Determine whetherRD Sharma - Volume 1

Fill in theMathematics - Exemplar