Pls
task 1
part 1. using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses.

f(x)=
x+a
b

g(x)=cx−d

part 2. show your work to prove that the inverse of f(x) is g(x).

part 3. show your work to evaluate g(f(

part 4. graph your two functions on a coordinate plane. include a table of values for each function. include five values for each function. graph the line y = x on the same graph.

task 2
part 1. create two radical equations: one that has an extraneous solution, and one that does not have an extraneous solution. use the equation below as a model:

a√x+b+c=d

use a constant in place of each variable a, b, c, and d. you can use positive and negative constants in your equation.

part 2. show your work in solving the equation. include the work to check your solution and show that your solution is extraneous.

part 3. explain why the first equation has an extraneous solution and the second does not.

You serve 3 1/4 gallons of punch at a party. your friends drink 1 1 /2 gallons of the punch. which of these containers is the smallest you can use to store the remaining punch?

Abus travels 36 miles in 45 minutes. enter the number of miles the bus travels in 60 minutes at this rate.

Cone w has a radius of 8 cm and a height of 5 cm. square pyramid x has the same base area and height as cone w. paul and manuel disagree on how the volumes of cone w and square pyramid x are related. examine their arguments. which statement explains whose argument is correct and why? paul manuel the volume of square pyramid x is equal to the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is three times the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. paul's argument is correct; manuel used the incorrect formula to find the volume of square pyramid x. paul's argument is correct; manuel used the incorrect base area to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect formula to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect base area to find the volume of square pyramid x.