) Find the x -intercept, the y -intercept, the vertical asymptote, and the horizontal asymptote of the function. f(x) 4x^2+27x-7/ 6x^2-x-77 2.

1.) Find the x-intercept, the y-intercept, the vertical asymptote, and the horizontal asymptote of the function.

f(x) 4x^2+27x-7/ 6x^2-x-77

2.) State the restriction on the domain to make it one-to-one and the find the inverse of the function.

f(x) 4x+11/ 5x-6

3.) Determine the function described and then use it to answer the question.

A large mixing tank currently contains 55 gallons of liquid oxygen, into which 0.75 gallons of a bonding compound have been mixed. A tap will open, pouring 4 gallons of liquid oxygen per minute into the tank at the same time the bonding compound is poured into the tank at a rate of 0.15 gallons per hour. The concentration (ounces per gallon) of the bonding compound in the tank after t minutes is given by

c= 0.75+0.15t/ 55+4t

tC

4.) Identify the equation describing the relationship of the given variables. y varies jointly with the square root of h cubed and the cube of i and inversely with the third root of g.

When g = 1331 and h = 4 and i = 2, then y = 64.

5.) Use the compound interest formula 

After a certain number of years, the value of an investment account is represented by the equation 

10625(1+0.0255/24)^120

Please show how you arrived at the solution for all thank you