Question

If 3f(x) - f(1/x) = x^2 , what is the value of f(1/2)?and it's from R-{0} to R obviously.

Answer 1

Answer:

0.59375‬

Step-by-step explanation:

3f(x) - f(1/x) = x^2

x = 2:   3f(2) - f(1/2) = 2^2

x = 1/2: 3f(1/2) - f(2) = (1/2)^2

Let a = f(1/2) and b = f(2):

3b - a = 4; 3a - b = 1/4

3b - 4 = a

3(3b-4) - b = 1/4

8b = 12 + 1/4

b = 1.53125‬

3 * 1.53125‬ - 4 = a

a = 0.59375‬