SOLUTION: Let f(x) be a function such that f(x)+xf(2012/x)=5x for x>0. Find the value of f(4).
Algebra.Com
Question 562491: Let f(x) be a function such that f(x)+xf(2012/x)=5x for x>0. Find the value of f(4).
Answer by issacodegard(60) (Show Source): You can put this solution on YOUR website!
Input 4 and 503 into the function:
f(4)+4f(503)=20
f(503)+503f(4)=2515
So,
f(4)=20-4f(503)=20-4(2515-503f(4))=-10040+2012f(4)
So, 2011f(4)=10040
So, f(4)=10040/2011
RELATED QUESTIONS
Let f be a real-valued function such that f(x-f(y)) = f(x) - xf(y) for any real numbers x (answered by Edwin McCravy)
Let f be a function such that
f(xy) + x = xf(y) + f(x) + xy^2
for all real numbers x... (answered by CPhill,ikleyn,Edwin McCravy,mccravyedwin)
Let f be a function such that f(x+y) = x + f(y) for any two real numbers x and y. If f(0) (answered by richard1234)
Let f be a function such that f(x+y) = x + f(y) for any two real numbers x and y. If f(0) (answered by richard1234)
Let f be a function such that f(0)=2 and fâ (x)<_6 for -10<_x<_10.
1) what is the... (answered by ikleyn)
Let f(x) be a polynomial such that f(0) = 4, f(1) = 6, and f(2) = -2. Find the remainder (answered by math_tutor2020)
Let f be the piecewise function such that
f(x) =
x^2 - 5x - 64 & \text{if} \ x \le 0,... (answered by CPhill)
1. 1. Let f(x) = â x + 1 â 1/4âx^(2) . Compute the following:
i. f(0)
ii.... (answered by ikleyn)
The function f : \mathbb{R} \rightarrow \mathbb{R} satisfies
xf(x) + f(1 - x)/x = x^3 +... (answered by CPhill)