If 2f(x)– 3f(1/x ) = x^2(x≠0), then f(2) is equal to
Answers
Answered by
1
Given,
2f(x)– 3f(1/x ) = x²
To Find,
The value of f(2).
Solution,
Since we are given that
2f(x)– 3f(1/x) = x²
Putiing x = 2 in this equation,
2f(2)-3f(1/2) = 4
(2f(2)-4)/3 = f(1/2)
Now, putting x = 1/2 we get,
2f(1/2)-3f(2) = 1/4
Now, substituing the value of f(1/2)
2((2f(2)-4)/3)-3f(2) = 1/4
(4f(2)-8)/3 - 3f(2) = 1/4
4f(2) - 8 -9f(2) = 3/4
-5f(2) = 3/4+8
-5f(2) = 35/4
f(2) = -7/4
Hence, the value of f(2) is -7/4.
Answered by
2
Given: Here we have given
To find: we have to find the value of f(2)
Solution:
Here we have given
we have to find f(2) so, x=2
....(1)
to find f(1/2) we will put x=1/2
so,
we will put one in above equation
Final answer:
Hence the answer is -7/4
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