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Question

The values of x for which the function f(x)=x2+x+1x27x+12 is not defined, is

A
{3,4}
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B
{3,4}
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C
{3,4}
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D
the function is defined everywhere
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Solution

The correct option is A {3,4}
f(x)=x2+x+1x27x+12
It is a rational function, so the function is not defined when the denominator is equal to zero.
x27x+12=0(x3)(x4)=0x=3,4

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