Answer:
f(x) and g(x) are inverses
Step-by-step explanation:
* Lets check the inverse function
- If f(x) = y has a domain = x and a range = y, then f^-1 is the
inverse of f with a domain = y and a range = x
- f(x) = f^-1(x) = x
* Now lets solve the problem
∵ f(x) = 8/x
∵ g(x) = 8/x
∴ fg(x) = f(8/x)
∴ fg(x) = 8/(8/x) = 8 ÷ 8/x ⇒ change division sign to the multiplication
sign and reciprocal the fraction after the division sign
∴ fg(x) = 8 × x/8 = x
* Now lets find gf(x)
∴ gf(x) = g(8/x)
∴ gf(x) = 8/(8/x) = 8 ÷ 8/x
∴ gf(x) = 8 × x/8 = x
∵ f(x) = f^-1(x) = x
* fg(x) = gf(x) = x
∴ f(x) and g(x) are inverses
Answer:
Part A: 6ml of antifreeze
Part B: 10ml of antifreeze
Step-by-step explanation:
10% of 60ml is 6ml
60/10 = 6
1/10 of 60 equals 6ml.
50% of 20ml is 10ml.
20/2 = 10
1/2 of 20 equals 10ml.
Answer:
Step-by-step explanation:
surface of the entire object
1) bottom. 8*16= 128 sq inchs
2) triangle sides. 1/2 b*h = 1/2*16 *6 = 48 but there are 2 , the front, and the back. (2*48)=96 sq
3) pitched tops 10*8=80 but there are 2 80*2 = 160 sq
total = 1+2+3
total = 128 + 96 + 160
total surface area = 384 
Answer: 1 club - Club 2
Step-by-step explanation:
You can find the monthly rates by deducting the cost at 12 months from the cost at 24 months and dividing it by 12.
Club 1 Club 2 Club 3
= (432 - 216) / 12 = (390 - 210) / 12 = (504 - 252) / 12
= $18 = $15 = $21
Multiply these rates by 6 months and any club total cost at 6 month that differs from your answer has a joining fee.
Club 1; Club 2; Club 3
= 18 * 6 = 15 * 6 = 21 * 6
= $108 = $90 = $126
<em>Same as total cost at </em><u><em> Joining fee of $30</em></u><em>; </em> <em>No joining fee as </em>
<em>6 months so no joining 120 - 90 = $30 this is the same </em>
<em>fee. as total cost at 6 </em>
<em> months.</em>
This one is simple! Instead of y, swap it out with f(x) So, the answer is C, f(x)=2x+6
