f(x)={2-|x^2+5x+6|,x!=2a^2+1,x=-2T h e n...

`f(x)={2-|x^2+5x+6|,x!=2a^2+1,x=-2T h e nt h er a ngeofa ,` so that `f(x)` has maxima at `x=-2,` is `|a|geq1` (b) `|a|<1` `a >1` (d) `a<1`

A

`|a|ge1`

B

`|a|le1`

C

`agt1`

D

`alt1`

Text Solution

Verified by Experts

The correct Answer is:

4

f(X) will have maxima at x =- 2 only if `a^(2)+1ge2 or |a|ge1`

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