(b) Define G: R → R by the rule G(x) = 2 – 3x for each real number x. Is G onto?Scratch work: Let y be any real number.On a separate piece of paper, solve the equation y = 2 - 3x for x. Enter the result-an expression in y-in the box below.X =(1) Is x a real number?Sums, products, and differences of real numbers are ---Select------Select---and quotients of real numbers with nonzero denominators are ---Select---Therefore, x(2) Does G(y) = x?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 that you found above is multiplied by 3, the result isAnd when the result is subtracted from 2, you obtain. Thus, ---Select--- vHence, ---Select---a number x such that x is a real number and G(x) = y. Therefore,---Select---

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(b) Define G: R - R by the rule G(x) = 2 - 3x for each real number x. Is G onto? Scratch work: Let y be any real number. On a separate piece of paper, solve the equation y = 2 - 3x for x. Enter the result-an expression in y-in the box below. (1) Is x a real number? v. Therefore, x Sums, products, and differences of real numbers are ---Select--- ---Select--- v, and quotients of real numbers with nonzero denominators are ---Select--- (2) Does G(y) = x? 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 that you found above is multiplied by 3, the result is . And when the result is subtracted from 2, you obtain . Thus, ---Select-- Hence, ---Select--- v a number x such that x is a real number and G(x) = y. Therefore, ---Select--- v