We know the area of the middle rectangle is 48 (length * width). removing that rectangle leaves us with two semicircles. you can combine those semicircles to be the equivalent of one circle. the area for a circle is r^2 * pi. we know the diameter is 4 because that is where we cut the semicircles. radius is half the diameter, so r is 2. 2^2 is 4, 4* pi is 12.56. add 12.56 (area of semicircles) with 48 (area of rectangle) and we get 60.56
41/11
Simply use your calculator
3.727272....
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
