Q. 65.0( 1 Vote )

Let f, g, h be re

Answer :

f, g and h are real functions given by f(x) = sin x, g(x) = 2x and


h(x) = cos x


To prove: fog=go(fh)


L.H.S


fog(x) = f(g(x))


= f(2x) = sin 2x


fog(x)=2sin x cos x ……(A)


R.H .S


go(fh)(x) = go(f(x).h(x))


= g(sin x cos x) = 2sin x cos x


go(fh)(x) = 2 sin x cos x ……(B)


from A and B


fog(x) = go(fh)(x)


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