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Question

Let f:RR be defined as f(x)=x2x+4x2+x+4. Then the range of the function f(x) is

A
[35,53]
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B
(35,53)
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C
(,35)(53,)
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D
[53,35]
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Solution

The correct option is A [35,53]
Let y=x2x+4x2+x+4
(y1)x2+(y+1)x+4y4=0

For x to be real, D0
(y+1)216(y1)20
35y53
Also, if y=1x=0, which is also valid.

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