An algebra problem by Ram Gautam
Algebra
Level
2
Let f(x) be a function such that f(x) = f(x – 2) and f(1) = 10 then which of the following must be true?
f(4) = 10
f(101) = 10
f(2) = f(1)
f(0) + f(2) = 0
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f(x) = f( x - 2) is just simply telling that the value of f(x) is same for all even and for all odd numbers. since we are given the value of function at an odd number i.e. f(1) = 10 that implies that the value of function for all odd value of x is 10. Hence f(101) = 10.