A) 8
B) 12
C) 16
D) 2
E) 10
Correct Answer: E
Solution :
Given \[f(x)\ge 2\] On integrating both sides w.r.t.\[x,\]we get \[f(x)\ge 2x+c\] \[\Rightarrow \] \[f(1)\ge 2\times 1+c\] \[\Rightarrow \] \[c\le 4-2\]\[\Rightarrow \] \[c\le 2\] \[\Rightarrow \] \[f(x)\ge 2x+2\] \[\therefore \] \[f(4)\ge 2\times 4+2=10\]You need to login to perform this action.
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