A) \[f(5)\ge 33\]
B) \[f(5)\ge 36\]
C) \[f(5)\le 36\]
D) \[f(5)\ge 9\]
E) \[f(5)\le 9\]
Correct Answer: A
Solution :
By Lagrange mean value theorem \[f(x)=\frac{f(5)-f(1)}{5-1}\ge 9\] \[\Rightarrow \] \[\frac{f(5)+3}{4}\ge 9\] \[\Rightarrow \] \[f(5)\ge 36-3\] \[\Rightarrow \] \[f(5)\ge 33\]You need to login to perform this action.
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