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LemaraherSa1d6i
LemaraherSa1d6i LemaraherSa1d6i
  • 07-08-2016
  • Mathematics
Answered

one to one functions g and h are defined as follows.

g={ (-9,7), (-1,-6), (1,4), (6,-1)}

h(x)= 2x-9


Find the following of:

1.) g^-1 (-1) = ?

2.) h^-1 (x) =?

3.) (h o h^-1) (1)= ?

Verified Answer :

HomertheGenius
HomertheGenius HomertheGenius
  • 10-08-2016
  1. g^-1 ( - 1 ) = 6

    2. h^-1 ( x ) = ?
    y = 2 x - 9
    - 2 x = - y - 9   / : ( -2 )
    x = ( y + 9 )/ 2
    h^-1 ( x ) = ( x + 9 ) / 2 

    3. ( h ° h^-1) ( 1 ) = ?
    h ( h^-1 ( 1 ) )= h ( (1+9) /2 ) = h ( 5  ) = 2· 5 - 9 = 10 - 9 = 1 
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