Algebra Answers

Find the inverse function of g(x)=(x+2)³

Find the inverse function of f(x)=4x+12

Find one possible missing coordinate so that the point becomes a solution to the given inequality.

(x,2) is a solution to 2x−8≤y .

Find the domain and range of the following rational function.Use any notation.

f(x)=3/x-1 f(x)=2x/x-4 f(x)=x+3/5x-5 f(x)=2x+x/2x f(x)=(x2+4x+3)/x²-9

a)Solve the following:

i) 2^x/2-16=1/32       ii) log₈(x-2)+log₈(x)=1

b) The demand curve for a swivel chair is given by p=4000(3^-q) dollars per swivel chair, where p is the price and q is the quantity, in thousands of swivel chair, demanded at that price. What quantity will be demanded if the price per swivel chair is $256.60?

The demand function for a tablet is given by the model p = 200 - 16x² where p is measured in dollars per tablet and x is measured in millions of tablets. If it costs $50 to produce each tablet and a profit of $125 million was derive when 2.5 million tablets were produced. Derive the number of tablets that the company could sell to make the same amount of profit?

Question 1(Multiple Choice Worth 4 points)

(05.02)

Two quantities are related, as shown in the table:

xy

(2,3)

(4,4)

(6,5)

(8,6)

Which equation best represents the relationship? y = x + 2

 y = x + 1

 y = x + 2

 y = 2x + 1

A farmer has enough money to build only 100 meters of fence. What are the dimensions of the field he can enclose with the maximum area?

A 25m x 25m

B 20m x 30m

C. 15m x 35m

D. 22.5m x 27.5m

if g(x)=x4(2x-1)10, then g(1) is?

Given 4 ropes of lengths 20 m, 14m, and 32m. iIf the ropes are to be cut into pieces of equal lengths without any remainder, what is the greatest possible length of a piece ?