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Q14. If 2f(x) –
= x², x ≠ 0, then find f(2).
Answers
Answered by
0
Answer:
-7/4
Step-by-step explanation:
Given: 2f(x) - 3f (1/x) = x^2
Let x=2. Then, 2f(2) - 3f(1/2) = 4
Let x=1/2. Then, 2f(1/2) - 3f (1/2) = 1/4
From the second equation, f(1/2) = 1/8 + (3/2).f(2)
Substitute this into the first:
2f(2) - 3/8 - (9/2).f(2) = 4
==> (-5/2).f(2) = 35/8
==> f(2) = -7/4
Step-by-step explanation:
Answered by
3
Given that
Now, Replace
So, we get
Now multiply equation (1) by 2 and equation (2) by 3, we get
and
On adding equation (3) and (4), we get
Now, to find f(2), Substitute x = 2, we get
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