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If f: R to R and g: R to R are given by ...

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`

Text Solution

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The correct Answer is:
`gof(x)!=fog(x)`
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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 .

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Knowledge Check

  • 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
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    C
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    D
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  • If f: (R) rarr (R) and g (R) rarr (R) defined by f(x)=2x+3 and g(x)=x^(2)+7 ,then the values of x such that g(f(x))=8 are

    A
    1)1,2
    B
    2)-3
    C
    3)-3
    D
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  • f: R to R and g: [0,oo)to R is defined by f(x) = x^(2) and g(x) = sqrtx . Which one of the following is not true?

    A
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    B
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    C
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    D
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    Find fog if f(x)= x-2 and g(x) = 3x

    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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