Q. 95.0( 2 Votes )

Verify associativ

Answer :

We have, f: N Zo, g: Z0 Q and h: Q R


Also, f(x) = 2x, and h(x) = ex


Now, f: N Zo and hog: Z0 R


(hog)of: N R


Also, gof: N Q and h: Q R


ho(gof): N R


Thus, (hog)of and ho(gof) exist and are function from N to set R.


Finally. (hog)of(x) = (hog)(f(x)) = (hog)(2x)



Now, ho(gof)(x) = ho(g(2x)) = h



Hence, associativity verified.


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 :

Fill in theMathematics - Exemplar

Let f : [2, ∞) <sMathematics - Exemplar

Let f : N Mathematics - Exemplar

Fill in theMathematics - Exemplar

Let f :R →<Mathematics - Exemplar

Let f : [0, 1] <sMathematics - Exemplar

Which of the follMathematics - Exemplar