SOLUTION: The one-to-one functions g and h are defined as follows. g={(-8,-4), (-2,-7), (3,7), (7,3)} h(x)=-x+13/5 Find the following. g^-1(7) h^-1(7) (h*h^-1(3)

Question 1200313: The one-to-one functions g and h are defined as follows.
g={(-8,-4), (-2,-7), (3,7), (7,3)}
h(x)=-x+13/5
Find the following.
g^-1(7)
h^-1(7)
(h*h^-1(3)
Answer by ikleyn(52780) (Show Source): You can put this solution on YOUR website!
.
The one-to-one functions g and h are defined as follows.
g={(-8,-4), (-2,-7), (3,7), (7,3)}
h(x)=-x+13/5
Find the following.
(a) g^-1(7)
(b) h^-1(7)
(c) (h*h^-1(3)
~~~~~~~~~~~~~~~~~~~~~~~~~~

(a)  g^-1(7) = 3    <<<---=== from (3,7)


(b)  h^-1(7) =      From your post, it is unclear how the function h(x) is defined, since the formula is ambiguous 
                    and can be read in different ways.


(c)  the formula for (c) is written mathematically incorrectly (parentheses are not balanced).

     Also, instead of the multiplication sign (*) the composition sign (o) must go.

Learn on how to write correctly in Math.

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If you will change your post, then please re-post it to the forum, as you do it usually.

Please do not re-post it to me personally.

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