Determine whether each pair of functions are inverses of each other.
1) f(x)=(5x+4)/(7)
g(x)=(13x-11)/(5)

2) f(x)=x-11
g(x)=x+11

answers:
a. only equations in group 1 are inverses of each other.
b. only equations in group 2 are inverses of each other.
c. equations in both groups 1 and 2 are inverses of each other.
d. none of the equations in group 1 or 2 are inverses of each other.

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?