Please help me with these study guide questions! Thanks in Advance!

1.) For f(x)=6x+3 and g(x)=6x, find the following composite functions and state the domain of each.

((See attached photo labeled 1A and 1B))

2.)If (-5,4) is a point on the graph of a one-to-one function f, which of the following points is on the graph of f^-1?

a.(-5,-4)

b.(5,-4)

c.(-4,5)

d.(4,-5)

3.)The formula D=20e^-0.9h can be used to find the number of milligrams of D of a certain drug that is in a patients bloodstream h hours after the drug was administered. When the number of milligrams reaches 4, the drug is to be administered again. What is the time between injections?

The time between injections is _______ hour(s)

4.) Jim places $10,000 in a bank account that pays 4.9% compounded continuously. After 2 years, will he have enough money to buy a car that costs $11,037? If another bank will pay Jim 5% compounded quarterly, is this a better deal?

((See Attachment labeled #4a b))

5.) the half life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows only 76% of the carbon -14 expected in living matter, when did the tree die?

The tree died about___years ago.

(Don't round until the final answer please & round to the nearest whole #)

6.) Pamela requires 7 hours to swim 91 miles downstream on the river. The return trip upstream takes 13 hours. Find Pamela's average speed in still water. How fast is the current? (Assume that Pamela's speed is the same in each direction.)

Pamela's average speed in still water is _________mph, and the speed of the current is_________mph

For f(x)=6x +3 and g(x) =6x, find the following composite functions and state the domain of each (8) fog (b) got (c) lol (d) gog (a) (fog)(x)= (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. O A. The domain of fog is {x (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. The domain of fog is all real numbers, (b) (go 1)(x)= (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. O A. The domain of gof is {x (Type an inequality Use integers or fractions for any numbers in the expression. Use a comma to separato answers as needed.) O B. The domain of g of is all real numbers. (C) (fo Dox) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. O A. The domain of fotis {x } (Type an inequality Use integers or fractions for any numbers in the expression, Use a comma to separate answers as needed.)For I(x) = 6x * 3 and g(x) = 6x, find the following composite functions and state the domain of each. (a) fog (b) get (c) lol (d) gog Select the correct choice below and fill in any answer boxes within your choice. O A. The domain of gold (x (Type an inequality Use integers or fractions for any numbers in the expression, Use a comma to separate answers as needed ) O B. The domain of got is all real numbers. (C) (1 (x) = (Simplify your answer) Select the correct choice below and fill in any answer boxes within your choice. O A. The domain of fotis {x } (Type an mequality. Use integers or fractions for any numbers in the expression, Use A comma to separate answers as noedod ] O B. The domain of fof is all real numbers. (d) (gog)(x) = | (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice O A. The domain of gog is {x } (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as mooded) O B. The domain of gag is all real numbersJim places $10,000 in a bank account that pays 4.9% compounded continuously. After 2 years, will he have enough money to buy a car that costs $11,037? If another bank will pay Jim 5% compounded quarterly, is this a better deal? After 2 years, Jim will have $ (Round to the nearest cent as needed.) Jim will have enough money to buy the $11,037 car after 2 years. After 2 years, the other bank will yield $ (Round to the nearest cent as needed.) Is the other bank's offer a better deal? O No. Jim's bank (4.9% compounded continuously) is better. Yes. The other bank (5% compounded quarterly) is better. taJim places $10,000 in a bank account that pays 4.9% compounded continuously. After 2 years, will he have enough money to buy a car that costs $11,037? If another bank will pay Jim 5% compounded quarterly, is this a better deal? After 2 years, Jim will have $] (Round to the nearest cent as needed.) Jim will have enough money to buy the $11,037 car after 2 years. After 2 y : will yield $ (Round not quite Is needed.) Is the ot just barely itter deal? O No. Jim's bank (4.9% compounded continuously) is better. O Yes. The other bank (5% compounded quarterly) is better