A) 8
B) 4
C) \[-8\]
D) 11
E) 44
Correct Answer: B
Solution :
Given that \[3f(x)+2f\left( \frac{x+59}{x-1} \right)=10x+30\] ...(i) and\[3f\left( \frac{x+59}{x-1} \right)+2f(x)=\frac{40x+560}{x-1}\] ...(ii) On solving Eqs. (i) and (ii), we get \[f(x)=\frac{6{{x}^{2}}-4x-242}{x-1}\] \[\therefore \]\[f(7)=\frac{6\times 49-28-242}{6}=\frac{294-270}{6}\] \[=\frac{24}{6}=4\]You need to login to perform this action.
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