$\"\"$

The retail price of a new hybrid car is p dollars.

The dealership advertises a factory rebate of 2000 dollars and a 10% discount.

The function R in terms of p giving the cost of hybrid car after receiving the rebate is $\"\"$ . $\"\"$

The function $\"\"$ .

$\"\"$

The retail price of a new hybrid car is p dollars.

The dealership advertises a factory rebate of 2000 dollars and a 10% discount.

The function S in terms of p giving the cost of the hybrid car after receiving the dealership discount is $\"\"$ . $\"\"$

The function $\"\"$ .

$\"\"$

The retail price of a new hybrid car is p dollars.

The dealership advertises a factory rebate of 2000 dollars and a 10% discount.

The function R in terms of p is $\"\"$ .

The function S in terms of p is $\"\"$ .

The composition of R with S is $\"\"$

$\"\"$ (Definition of $\"\"$ )

$\"\"$ (Simplify)

The function $\"\"$ represents the cost of the car as a function of car cost price after receiving the dealership discount. $\"\"$

The composition of S with R is $\"\"$

$\"\"$ (Definition of $\"\"$ )

$\"\"$ (Simplify)

The function $\"\"$ represents the cost of the car as a function of car cost price after receiving the rebate from the factory. $\"\"$

The value of function $\"\"$ .

The function $\"\"$ represents the cost of the car as a function of car cost price after receiving the dealership discount.

The value of function $\"\"$ .

The function $\"\"$ represents the cost of the car as a function of car cost price after receiving the rebate from the factory.