SOLUTION: if {{{g(x-1)=(2-g(x))/8}}} and {{{g(1)=3}}}, find the value of g(2).

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Question 1196480: if g%28x-1%29=%282-g%28x%29%29%2F8 and g%281%29=3, find the value of g(2).
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x = 2.  Then the formula takes the form

    g(2-1) = %282-g%282%29%29%2F8,

or

    g(1) = %282-g%282%29%29%2F8

     3   = %282-g%282%29%29%2F8

    3*8  = 2 - g(2)

     24  = 2 - g(2)

     24 - 2  = -g(2)

       22    = -g(2)

       g(2)  = -22.


ANSWER.  Then g(2) = -22.

Solved.