Home
Class 12
MATHS
If f:RtoRandg:RtoR are given by f(x)=cos...

If `f:RtoRandg:RtoR` are given by `f(x)=cosxandg(x)=3x^(2)`. Find gof and fog.

Text Solution

Verified by Experts

The correct Answer is:
gof = `3cos^(2)x`
fog = `cos(3x^(2))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY - 2016

    SUNSTAR PUBLICATION|Exercise PART - C|14 Videos
  • SUPPLEMENTARY EXAM QUESTION PAPER JULY - 2016

    SUNSTAR PUBLICATION|Exercise PART - D|10 Videos
  • SUPPLEMENTARY EXAM QUESTION PAPER JULY - 2016

    SUNSTAR PUBLICATION|Exercise PART - E|2 Videos
  • P.U BOARD LATEST MODEL QUESTION PAPER - 3

    SUNSTAR PUBLICATION|Exercise PART-E|3 Videos
  • SUPPLEMENTARY EXAM QUESTION PAPER JULY -2014

    SUNSTAR PUBLICATION|Exercise PART -E|4 Videos

Similar Questions

Explore conceptually related problems

If f: R to R and g : R to R are given by by f(x)=cos x and g(x)=3x^(2) , then shown that gof ne fog .

If f: R to R and g: R to R are given by f(x)= cosx and g(x) =3x^(2) .Show that gof ne fog

If functions f:RtoRandg:RtoR are given by f(x)=|x|andg(x)=[x] , where [x] is greatest integer function find fog(-1/2)andgof(-1/2) .

Find gof and fog if f : R rarr R and g : R rarr R are given by f(x) = cosx and g(x) = 3x^(2)

If functions f : R to R and g: R to R are given by f(x) = |x| and g(x) = [x] , ( where [x] is greatest function) find fog (-(1)/(2) ) and "gof" (- (1)/(2) )

Find fog if f(x)= x-2 and g(x) = 3x

Let f:R to R, g: R to R be two functions given by f(x)=2x-3,g(x)=x^(3)+5 . Then (fog)^(-1) is equal to

If f : R to R given by f(x) = (3 - x^(3))^(1//3) . Find fof(x).

Find gof and fog given f(x) = 8x^(3) and g(x) = x^(1//3) .

Find gof and fog given f(x) = |x| and g(x) = |5x - 2| .