Q. 75.0( 3 Votes )

Let f : R

Answer :

|

To find: formula for h o (g o f)


To prove:


Formula used: f o f = f(f(x))


Given: (i) f : R R : f(x) = x2


(ii) g : R R : g(x) = tan x


(iii) h : R R : h(x) = log x


Solution: We have,


h o (g o f) = h o g(f(x)) = h o g(x2)


= h(g(x2)) = h (tan x2)


= log (tan x2)


h o (g o f) = log (tan x2)


For,





= 0


Hence Proved.


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