Q77 / 155 · WBJEE 2021 · Mathematics

$f(x)$ 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
Correct answer
C
11
D
0

Solution

$2 f(x)+3 f(-x)=15-4 x$...(1) Replace $x$ by $-x$ $2 f(-x)+3 f(x)=15+4 x$ ...(2) After solving (1) and (2), we get $\begin{array}{l} f(x)=4 x+3 \\ \therefore f(2)=8+3=11 \end{array}$

Hence, the correct answer is option: 'C'.

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