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Let f g be functions from R to R define...

Let f g be functions from R to R defined as
`f (x) ={{:( 7x ^(2) + x - 8 "," x le 1),( 4x + 5"," 1 lt x le 7"," g (x) = ),(78x + 3"," x gt 7):}{{:(|x|"," x lt -3),(0"," -3 le x lt 2),(x ^(2) + 4"," x ge 2):}` Then

A

(fog) `(-3) = 8`

B

(fog) `(9) = 683`

C

(gof) `(0) =- 8`

D

(gof) `(6) = 427`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Let f and g be real valued functions defined as f(x)={{:(7x^(2)+x-8",",xle 1),(4x+5",",1lt x le 7),(8x+3",",x gt7):} " " g(x)={{:(|x|",",xlt -3),(0",",-3le x lt 2),(x^(2)+4",",xge 2):} The value of 2(fog) (7) - (gof) (6) is

    A
    9
    B
    11
    C
    13
    D
    15

  • Let f and g be real valued functions defined as f(x)={{:(7x^(2)+x-8",",xle 1),(4x+5",",1lt x le 7),(8x+3",",x gt7):} " " g(x)={{:(|x|",",xlt -3),(0",",-3le x lt 2),(x^(2)+4",",xge 2):} The value of (gof) (0) + (fog) (-3) is

    A
    -8
    B
    0
    C
    8
    D
    16

  • Let f and g be real valued functions defined as f(x)={{:(7x^(2)+x-8",",xle 1),(4x+5",",1lt x le 7),(8x+3",",x gt7):} " " g(x)={{:(|x|",",xlt -3),(0",",-3le x lt 2),(x^(2)+4",",xge 2):} The value of 4(gof) (2) - (fog) (9) is

    A
    0
    B
    2
    C
    5
    D
    9

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