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The function g is called an inverse to the function f if the domain of g is the range of f, if g(f(x)) = x for every x in the domain of f and if f(g(y)) = y for each y in the range of f.
(a) Explain why a function is a bijection if and only if it has an inverse function.
(b) Explain why a function that has an inverse function has only one inverse function.
Find any stationary points of the function from 1a. An use the first derivative test to see whether they are local maximum or local minimum of f(x).
Write the arithmetic sequence that has four arithmetic means between -20 and 20?
a bag contains nickels and quartersthere are 6 more nickels than quarters.the ttotal value of coins in 4.50. how many of each coin are there?
Sketch the graph of the quadratic function f(x) = (x+4)2+1. Identify the vertex and axis of symmetry. Sketch the graph of the quadratic function f(x) = x2+2x+1. Identify the axis of symmetry.
the cost to rest a car is 30 per day.write an expression for the cost of renting a car for d days. make a table to
Formulate a different logic program for addition which is based on the recursive presentation - The logic program for addition described above can also be used for subtraction. How?
Find the area between the curves
An alligator with a body length of 7 feet has a tail length of 4.9 feet. What is the tail length of an alligator whose body length is 4 feet?
Saunders Corp. has current liabilities of $440,000, a quick ratio of 0.81, inventory turnover of 5.7, and a current ratio of 1.8. What is the cost of goods sold for the company?
Calculating probabilities of a dice game. Suppose someone gives you 9 to 2 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win $9.00 if you succeed and you lose $2.00 if you fail.
How do you analyze the relationship between the predictor X and the dependent variable Y?
it is known that 20 of all persons given a certain medication get very drowsy within 2 minutes. find the probabilities
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