If function f(x) and g(x) are continuous everywhere then: * O (f/g)(x) is als continuous everywhere O (f/g)(x) is also continuous everywhere except at the zero of g(x) O (f/g)(x) is not continuous everywhere O (f/g)(x) continuous only when g(x) is equal to zero

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A: Continuous Function:In mathematics, a continuous function means that a continuous change in the…

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A: To prove the given statements.

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A: This question is related to Functions, we will solve it using given information.

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Q: (A) True (B) False If f(x) is continuous, f(-1) = 2, and f(2)= -1, then f(x) has a root in [-1,2].

A: This question is related to intermediate value theorem .

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A: Given,             f(x)=3x2-4x-3

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A: f(x) = ( x2-2, x&lt;=3            x+4, x&gt;3

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Q: (4ах + 2b , X<1 2х — 3Ь,1 <х < 3 (2ах + 4b g(x) ,3 <x Find the values of "a" & “b" if gm is…

A: We will find the value of a and b as following-

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Q: Fxy(x, y) is a monotonic and non-decreasing function of both x and y.

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Q: Let  f (x) be a function which is continuous on [−7, 3] and differentiable on (−7, 3). Suppose that…

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Q: Check the continuity of the function f(x) at x = -2 f(x) = - 6r + 3x l-6x if xs-2 if x>-2

A: Given,         The function fx at x=-2.           fx=x2+3xif x≤-2x3-6xif x&gt;-2

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Q: 3. Please help!!: Calculate the domain of the function

A: If you have any questions let me know in comment box thankyou for your question.

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A: Note: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

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Q: 1-sin(2x)

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