mcantrn mcantrn
  • 08-12-2019
  • Mathematics
contestada

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.

Respuesta :

JohnHyunWooKim JohnHyunWooKim
  • 08-12-2019

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

Answer Link

Otras preguntas

How does the volume of a prism change if each dimension of the prism is doubled?
How do you " find, to the nearest tenth of an inch, the diagonal of a square whose perimeter is 28 inches ?"
the square root of 49 is how much less than four squared
A table is 1 1/2 meters long.How many centimeters long is the table?
How do you put 5/2 on a number line
How did americans react to the events in Europe and asia in the early world war 2?
How did americans react to the events in Europe and asia in the early world war 2?
Find the unit rate. 6 ounces for 2.5 servings Help! Please
how did Pericles change the government of Athens???
A table is 1 1/2 meters long.How many centimeters long is the table?