In the given figure find the value of the unknown interior angle x in the following figure.
1 answer:
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Answer: First, injective means that for every y, there is only one x such f(x) = y, and surjective means that if f is a function that goes from the set {x} to the set {y}, for every element y in the codomain there is at least one element x in the domain such f(x) = y
(a) f:R----> + R given by f(x) = x2 (i guess you written )
The function is not injective, because f(-2) = f(2), and is surjective, because the codomain is +R, and is always a positive real number.
(b) f:N----> + N given by f(n) = n2 (i guess you written )
As the naturals have no negative numbers, in this case the function is injective, but isn't surjective, because there is no number that when squared is equal to 5, for example.
(c) f: Zx Z → Z given by f(n, k) = n +k:
here the domain is of the form (n,k) and the function is n +k, so the numbers (z,w) and (w,z) return the same value when evaluated in f, then f is not injective. And is easy to see that f is surjective, because in the sum you can reach al the integers on the codomain.
<h3><u>Given</u> - </h3>
➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0
<h3><u>To solve</u> - </h3>➙ the given quadratic equation.
<h3><u>Concept applied</u> - </h3>➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.
What is quadratic equation?
➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.
Now, what is quadratic formula?
➙The roots of a quadratic equation ax + bx + c = 0 are given by provided b - 4ac ≥ 0.
here as per the given quadratic equation,
a = 2, b = -1 and c = -6
putting in the formula,
Solving one by one,
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<em><u>Note</u> - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.</em>
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Hope it helps!! (:
The point (-1,2) is in quadrant 2
