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pecanTan
pecanTan pecanTan
  • 30-08-2016
  • Mathematics
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Verified Answer :

hai0612
hai0612 hai0612
  • 30-08-2016
Af(x) = x - 4 , g(x) = x + 4 
⇒ f( g(x) ) = x + 4 - 4 = x
    g( f(x) ) = x - 4 + 4 = x
⇒ f and g are not inverses of each other
b) f(x) = -1/(3x) , x ≠ 0 ; g(x) = 1/(3x) , x ≠ 0
⇒ f( g(x) ) = -1/( 3(1/(3x)) ) = -1/(1/x) = -x
    g (f(x) ) = 1/( 3
(-1/(3x)) ) = 1/( -1/x) = -x
 ⇒ f and g are not inverses of each other
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