F(x)=(x-8)/(x+7). g(x)=(-7x-8)/(x-1). Plug in g(x) into f(x), f(g(x))=[(-7x-8)/(x-1)-8]/[-7x-8)/(x-1)+7], which can be simplified as (-7x-8-8x+8)/(-7x-8+7x-7)=-15x/-15=x. Plug in f(x) into g(x), g(f(x))=[-7*(x-8)/(x+7)-8]/[(x-8)/(x+7)-1]=(-7x+56-8x-56)/(x-8-x-7)=-15x/-15=x, as desired.
Answer:
c. $10.56
Step-by-step explanation:
$3.30 x 4 = $13.20 x 0.20 (20%) = $2.64
$13.20 - $2.64 = $10.56
Answer:
The balance amount owed on the credit card altogether = $258.43
Step-by-step explanation:
Here, the current amount owed on the credit card = $225.45
Now, the amount of payment made to the credit card = $55.00
So, the remaining amount owed = Current Debt - Paid Amount
= $225.45 - 55 = $170. 45
Again, the purchase amount at Macy's = $87.98
⇒ New amount owed on credit card = Previous Debt + New Purchase
= $170. 45 + $87.98 = $258.43
Hence, the balance amount owed on the credit card = $258.43
The ski resort is open 13/52 weeks out of the year
