Question

Let f be a function such that f(f(x)) = f(x + 13) – 18 for all integers x. If f (241) = 259 and f(259) = 254, then f(267) is?

Answer 1

Answer: The value of f(267) = 308.

Step-by-step explanation:

Since we have given that

f(f(x) = f(x+13)-18

and

f(241) = 259

f(259) = 254

We need to find f(267):

First we put x = 241.

f(f(241))= f(241+13)-18

f(259)=f(254)-18

254+18=f(254)

272=f(254)----------(1)

Similarly,

we'll put x = 259.

f(f(259))=f(259+13)-18

f(254)=f(272)-18

Using (1), we get that

272+18=f(272)

290=f(272)------------(2)

Now, we'll put x = 254.

f(f(254))=f(254+13)-18

f(272)=f(267)-18

Using (2), we get that

290=f(267)-18

290+18=f(267)

308=f(267)

Hence, the value of f(267) = 308.