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Let f, g : R ->R be defined, respectivel...

Let f, g : R `->`R be defined, respectively by `f(x) = x + 1`,`g(x) = 2x 3`. Find `f + g, f g`and `f/g`.

Text Solution

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The correct Answer is:
`(i)" "3x-2 " "(ii)" " -x+4 " "(iii)" "2x^(2)-x-3" "(iv)" "(x+1)/(2x-3)`
(iv) dom `((f)/(g))="dom "(f)nn"dom "(g)-{x:g(x)=0}`
`=RnnR-{(3)/(2)}=R-{(3)/(2)}`.
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Knowledge Check

  • If f, g: R to R defined by f(x) = x+1 and g(x) = 2x -3 respectively then find f+g

    A
    `3x-2`
    B
    `-x+4`
    C
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    D
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    A
    `x^(3) + x+2`
    B
    `x^(3) -x`
    C
    `x^(2) - x +1`
    D
    None of these

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