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Find gof and fog if f : R rarr R and g :...

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)`

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Similar Questions

Explore conceptually related problems

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

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

Knowledge Check

  • Let, f : R rarr R be given by f(x) = tan x . Then f^-1(1) =

    A
    `pi/4`
    B
    `{n pi+pi/4 : n in Z}`
    C
    does not exist
    D
    none of these

  • The function f : R rarr R given by f(x) = 5-3 sin x

    A
    only one-one
    B
    only onto
    C
    both one-one and onto
    D
    neither one-one nor onto

  • If f:R rarr R and g : R rarr R are defined by f(x) = 3x + 2 and g(x) = x^2 - 3 , then the value of x such that g(f(x))=4 are

    A
    a.`-1/3, 1`
    B
    b.`-1/3, -1`
    C
    c.1/3, -1
    D
    d.1/3, 1

    • Similar Questions

    Explore conceptually related problems

    If f : R rarr R and g : R rarr R be two mapping such that f(x) = sin x and g(x) = x^(2) , then find the values of (fog) (sqrt(pi))/(2) "and (gof)"((pi)/(3)) .

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

    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 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 gof and fog, if (i) f (x) = |x| and g (x) = |5x - 2| (ii) f (x) = 8x ^(3) and g (x) = x ^(1/3).

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