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Question

The range of the function f(x)=(2+x2x), x2 is

A
R
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B
R{1}
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C
R{1}
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D
R{2}
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Solution

The correct option is B R{1}
f(x)=2+x2x,x2
Let f(x)=y,
y=2+x2x
2yxy=2+x
2y2=x(1+y)
x=2(y1)1+y
Now consider the domain for value x. y cannot take '-1' value as

x is not defined for that value.
Hence, range will be R{1}

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