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If g(x) = x^2+x-2and 1/2g(f(x)) = 2x^2 -...

If g(x) = `x^2+x-2`and `1/2g(f(x)) = 2x^2 -5x+2`, then f(x) is

A

`2x +3`

B

`2x-3`

C

`2x ^(2) + 3x +1`

D

`2x ^(2) -3x-1`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Suppose f,g, R to R . If g(x) defined by g(x) = x^(2) + x-2 and (g.f)(x) =4x^(2) - 10 x + 4 , then f(x) may be given by

    A
    `f(x) = 2x+3`
    B
    `f(x) = 3-2x`
    C
    `f(x) = 2x-3`
    D
    `f(x) = 2+2x`

  • If g(x) = 2x^(2) + 3x - 4 and g(f(x)) = 8x^(2) + 14 x + 1 then f(2) =

    A
    3
    B
    5
    C
    `-3`
    D
    `-5`

  • If g(x) = 2x^(2) + 3x - 4 and g (f(x)) = 8x^(2) + 14 x + 1 then f (2) =

    A
    3
    B
    5
    C
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    D
    `-5`

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