Which statement describes the domain of the function f(x)=3x/(4x^2-4)
2 answers:
The complete question in the attached figure
we have that
f(x)=3x/(4x²<span>-4)
we know that
</span><span>the denominator can not be zero
</span>so
(4x²-4)=0
4x²=4
x²=1----> x=(+/-)√1
x1=1
x2=-1
<span>the values of x=1 and x= -1 make the denominator zero, therefore they do not belong to the domain of the function</span>
the answer is
the domain of the function is all real numbers except 1 and -1
we have that
f(x)=3x/(4x²<span>-4)
we know that
</span><span>the denominator can not be zero
</span>so
(4x²-4)=0
4x²=4
x²=1----> x=(+/-)√1
x1=1
x2=-1
<span>the values of x=1 and x= -1 make the denominator zero, therefore they do not belong to the domain of the function</span>
the answer is
the domain of the function is all real numbers except 1 and -1
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