Suppose for all integers x x x , there are two functions f f f and g g g such that f ( x ) + f ( x − 1 ) − 1 = 0 f(x) + f(x-1) - 1 = 0 f ( x ) + f ( x...

Question

Suppose for all integers

xx
, there are two functions
ff
and
gg
such that

f(x)+f(x1)1=0f(x) + f(x-1) - 1 = 0
and
g(x)=x2.g(x) = x^2.
If
f(x2x)=5f(x^2 - x) = 5
, then the value of the sum
f(g(5))+g(f(5))f(g(5)) + g(f(5))
is:

Answer Format

Enter your answer as an integer value

cat 2022functionsrecurrencealgebra

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