![subject](/tpl/images/cats/mat.png)
Mathematics, 17.10.2021 23:40 deanlmartin
efine G: β β β by the rule G(x) = 2 β 3x for each real number x. Prove that G is onto. Proof that G is onto: Let y be any real number. (Scratch work: On a separate piece of paper, solve the equation y = 2 β 3x for x. Enter the resultβan expression in yβin the box below.) x = To finish the proof, we need to show (1) that x is a real number, and (2) that G(x) = y. Now sums, products, and differences of real numbers are real numbers, and quotients of real numbers with nonzero denominators are also real numbers. Therefore, x is a real number. In addition, according to the formula that defines G, when G is applied to x, x is multiplied by 3 and the result is subtracted from 2. When the expression for x (using the variable y) is multiplied by 3, the result is 3x = . And when the result is subtracted from 2, we obtain 2 β 3x = . Thus G(x) = y. Hence, there exists a number x such that x is a real number and G(x) = y.
![ansver](/tpl/images/cats/User.png)
Answers: 2
![](/tpl/images/ask_question.png)
![](/tpl/images/ask_question_mob.png)
Another question on Mathematics
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 19:00
Write the pair of fractions as a pair of fractions with a common denominator
Answers: 3
![question](/tpl/images/cats/mat.png)
Mathematics, 22.06.2019 04:30
7x^2-9x+5=0 find the discriminant and number of real solutions
Answers: 3
![question](/tpl/images/cats/mat.png)
Mathematics, 22.06.2019 04:30
Acircle has a radius of 17. approximately what is the area of the circle
Answers: 1
You know the right answer?
efine G: β β β by the rule G(x) = 2 β 3x for each real number x. Prove that G is onto. Proof that G...
Questions
![question](/tpl/images/cats/istoriya.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 30.10.2020 17:30
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/istoriya.png)
History, 30.10.2020 17:30
![question](/tpl/images/cats/health.png)
Medicine, 30.10.2020 17:30
![question](/tpl/images/cats/obshestvoznanie.png)
Social Studies, 30.10.2020 17:30
![question](/tpl/images/cats/fizika.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 30.10.2020 17:30
![question](/tpl/images/cats/fizika.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 30.10.2020 17:30
![question](/tpl/images/cats/fizika.png)
Physics, 30.10.2020 17:30
![question](/tpl/images/cats/istoriya.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 30.10.2020 17:30
![question](/tpl/images/cats/mat.png)
Mathematics, 30.10.2020 17:30
![question](/tpl/images/cats/en.png)
English, 30.10.2020 17:30
![question](/tpl/images/cats/mat.png)
Mathematics, 30.10.2020 17:30
![question](/tpl/images/cats/ekonomika.png)
![question](/tpl/images/cats/biologiya.png)
Biology, 30.10.2020 17:30
![question](/tpl/images/cats/en.png)
English, 30.10.2020 17:30