https://gonitzoggo.com/problem/582 Here is a link to the original problem
I just cannot wrap my head around this.
#Absurd Functional Equation
vast plume
tidal solarBOT
fallow sequoia
can you explain 😭
i mean , i just tried
it looks linear
one tip is that whenever u see a functional eqn , try basic functions
like f(x) = ax or x+c
vast plume
hm
it finally clicked
ill leave the full solution here if anyone is interested
set y = 0
you should get xf(x) = f(x^2)
divide the input by x
=> xf(1) = f(x)
=> f(x) = f(1)x
f(1) is constant
so the function is linear
f(17) = f(1) * 17 = 289
we quickly derive that f(1) = 17
and conclude
vast plume
f(69) = f(1) * 69 = 1173 ⭐
fallow sequoia
IMO student eh?
vast plume
and thats the answer
fallow sequoia
:)
vast plume
.solved