SOLUTION: The one-to-one functions g and h are defined as follows. g={(-9,8),(-4,2),(2,1),(4,-5)} h(x)=x+13/11 Find the following. g^-1(2)= h^-1(x)= (h^-1 o h)(-2)=

Algebra ->  Rational-functions -> SOLUTION: The one-to-one functions g and h are defined as follows. g={(-9,8),(-4,2),(2,1),(4,-5)} h(x)=x+13/11 Find the following. g^-1(2)= h^-1(x)= (h^-1 o h)(-2)=      Log On


   



Question 1200359: The one-to-one functions g and h are defined as follows.
g={(-9,8),(-4,2),(2,1),(4,-5)}
h(x)=x+13/11
Find the following.
g^-1(2)=
h^-1(x)=
(h^-1 o h)(-2)=

Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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The one-to-one functions g and h are defined as follows.
g={(-9,8),(-4,2),(2,1),(4,-5)}
h(x)=x+13/11
Find the following.
(a) g^-1(2)=
(b) h^-1(x)=
(c) (h^-1 o h)(-2)=
~~~~~~~~~~~~~~~~~~~~~~~~

(a)  To answer this question (a), you should understand how the inverse function works 
     and what they want from you.

     You are given this function "g" as a sequence of pairs.

     In each pair, the first  number is the input,  or the argument;
                   the second number is the output, or the value of the function.

     When they ask you to find g^-1(2), it means for you:

          - find a pair with "2" in the second position
                   (this pair is unique: it is (-4,2) );

          - and return the number in the FIRST position of this pair.


     So, the answer to question (a) is -4,  which is in the first position of this pair.

Part (a) is complete.

If you do understand this my explanation (which is VERY clear), then do not post similar questions in the future.