Question

$f(x)$ is real valued function such that $2 f(x)+3 f(-x)=15-4 x$ for all $x \in R$. Then $f(2)=$
(A) $-15$
(B) 22
(C) 11
(D) 0

Answer 1

Ans: (C)
Hint : $2 f(x)+3 f(-x)=15-4 x \quad \ldots .$ (1)
Replace $x$ by $-x$
$$2 f(-x)+3 f(x)=15+4 x$$
After solving (1) and (2), we get
$$\begin{aligned} &f(x)=4 x+3 \\ &\therefore f(2)=8+3=11 \end{aligned}$$

Answer 2

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Answer 3

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