Mathematics: The 3-liter bottles of soda are selling for $2.10. graph the price of 3-liter bottles.

The 3-liter bottles of soda are selling for $2.10.

dalilaoliva12

24.04.2020

1. (0, 0), (1, −1) and (4, 2)

2. The correct option is 4.

Step-by-step explanation:

The given function is

{(−3, 9), (−1, 1), (0, 0), (2, 4)}

If a function is defined as

$f=\{(x,y):x\in R, y\in R\}$

then the inverse of the function is

$f^{-1}=\{(y,x):x\in R, y\in R\}$

The inverse of the given function is

{(9,−3), (1,−1), (0, 0), (4,2)}

Therefore the points (0, 0), (1, −1) and (4, 2) are on the graph of the inverse.

The given function is

f(x)=-3x+5

The equation of the function is

y=-3x+5

Interchange x and y.

x=-3y+5

Isolate y.

x-5=-3y

Divide both sides by -3.

$\frac{x-5}{-3}=y$

The inverse of the given function is

$f^{-1}(x)=-\frac{x}{3}+\frac{5}{3}$

Therefore the correct option is 4.

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