Hindi, asked by Rina86169, 13 hours ago

answer the following Question in marathi​

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Answered by palneeta1984
1

Answer:

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Explanation:

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Answered by itzmecuteJimin
8

Answer:

\large\underline{\sf{Solution-}}

Given that,

\sf \: 3f(x) + 2f\bigg(\dfrac{1}{x} \bigg) = \dfrac{1}{x}   - 5  -  -  - (1)\\  \\

Replace x by \dfrac{1}{x} , in equation (1), we get

\sf \: 3f\bigg(\dfrac{1}{x} \bigg)  + 2f(x)= x   - 5 \\  \\

can be rewritten as

\sf \: 2f(x) + 3f\bigg(\dfrac{1}{x} \bigg) = x   - 5 -  -  - (2) \\  \\

On multiply equation (1) by 3 and (2) by 2, we get

\sf \: 9f(x) + 6f\bigg(\dfrac{1}{x} \bigg) = \dfrac{3}{x}   - 15  -  -  - (3)\\  \\

and

\sf \: 4f(x) + 6f\bigg(\dfrac{1}{x} \bigg) = 2x   - 10 -  -  - (4) \\  \\

On Subtracting equation (4) from (3), we get

\sf \: 5f(x) = \frac{3}{x}  -  2x   - 5\\  \\

On substituting x = 2, we get

\sf \: 5f(2) = \frac{3}{2}  -   4  - 5\\  \\

\sf \: 5f(2) = \frac{3}{2}  - 9\\  \\

\sf \: 5f(2) = \frac{3 - 18}{2} \\  \\

\sf \: 5f(2) = \frac{- 15}{2} \\  \\

\sf \: \bf\implies \:f(2) \:  =  \: -  \:  \frac{3}{2} \\  \\

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