A car is discounted 10% and sells for $15,673. What was the discount amount?

  $1741.44

Step-by-step explanation:

The discounted amount is 100% -10% = 90% of the original. The amount of the discount is 10% of the original, or 1/9 of the discounted amount:

  10% = 90% × 1/9

The discount was ...

  $15,673/9 = 1,741.44

Check

The original is the sum of the discounted amount and the discount:

  original price = $15,673.00 +1,741.44 = $17, 414.44

10% of that value is 1,741.44, as shown above.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2