Answer:
D) (0.59, 3.35)
Step-by-step explanation:
The inequality for the thickness of the metal bars is:
In order for this inequality to be true, the following conditions must be met:
The range of thickness "x" that fits the inequality is:
Thickness ranges from 0.59 to 3.35 units.
Remark
The reason you are not getting many replies to this is an uncertainty about f(x). We do not know if you mean f(x) = 2/(x - 6) or f(x) = (2/x) - 6. We'll try it both ways.
First Way f(x) = 2/(x - 6)
f(x = y = 2/(x - 6) Interchange x and y
x = 2 / (y - 6) Multiply both sides by y - 6
x(y - 6) = 2 Divide by x
y - 6 = 2/x Add 6 to both sides.
y = 2/x + 6 Which is close to g(x) but it is not the same thing, even if you use x as a common denominator. That would give you
Second Way: f(x) = (2/x) - 6
f(x) = y = (2/x) - 6 Interchange x and y
x = (2/y) - 6 Add 6 to both sides
x + 6 = 2/y Multiply both sides by y
y(x + 6) = 2 Divide by sides by (x + 6)
y = 2/(x + 6)
Comment
These do not look anything alike so g(x) and f(x) are not inverses.
Answer:
We are given that 4 lb of candies are bought for $9.00
Therefore, the price of 1 lb of candies is:
Now the amount of candies that can bought for $12.00 is:
lb
Therefore, 5.3333 lb of candies can be bought for $12.00