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.

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

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

60

step-by-step explanation: