If f(x)=(x+1)^-1 and g(x)=x-2, what is the domain of f(x)/g(x)?

Step-by-step explanation:

Function g(x) = x - 2 is in the denominator.  We cannot divide by zero, so the domain of (f/g)(x) is x ≠ 2.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2