Question

Let f be a function such thatf(f(x)) *=f(x+13)-18 for all integers x. if f(241)=259 and f(259)=254 then (290) is

Answer 1

f be a function such that f(f(x)) = f(x + 13) - 18

Given, f(241) = 259 ........(i)
f(259) = 254 .......(ii)

now, put x = 241
so, f(f(241)) = f(241 + 13) - 18
f(259) = f(254) - 18 [ from eq (i), ]
254 + 18 = f(254) [ from eq (ii), ]
f(254) = 272 .......(iii)

again, put x = 259
so, f(f(259)) = f(259 + 13) - 18
f(254) = f(272) - 18 [ from eq. (ii), ]
272 + 18 = f(272) [ from eq. (iii), ]
f(272) = 290

hence, 290 is f(272)