Question

Domain of the function f(x)=3x/4x^2-4

Answer 1

Answer:

the complete question in the attached figure

we have that

f(x)=3x/(4x²-4)

we know that

the denominator can not be zero

so

(4x²-4)=0

4x²=4

x²=1----> x=(+/-)√1

x1=1

x2=-1

the values ​​of x=1 and x= -1 make the denominator zero, therefore they do not belong to the domain of the function

the answer is

the domain of the function is all real numbers except 1 and -1