Find c such that the function ( a2 – 4 x < c f(2) = { 4z – 8 z>c 4x – 8 x > c is continuous everywhere. c =

Q: 13. If f(x) = h(g(j(x))), find f'(1). %3D

A: In order to find the derivative of composite functions we apply chain rule. Then we have use the…

Q: determine the continuity of the function at a.

A: The objective of this question is to determine whether the function f(x) = 1/(x + 2) is continuous…

Q: Determine whether the following function is continuous at the given point z За? + 14г — 5 1 f(x)= 3x…

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Q: Cx² f(x) = = if x 1 { 6 C-X

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Q: Find the values of a andb that makef continuous everywhere. x² – 4 if x 3 a = Il ||

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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-

Q: f(x) x² - 2x - 8 { *2-22-3 x-4 x = 4 x‡4

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Q: h(x): x² - 7x + 10 x-5 a x 5 x=5 8. Let for some constant a. If h is continuous for all real…

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Q: If the function /6- 830 is continuous at x=0, then a- 1+2acosx D a 1 6 -1

A: In order to solve the given question equate the left hand limit and the right hand limit as the…

Q: Let f(x) = and g(x) = 2х -1 Compute (f o g)(x) and determine the domain in x-2 interval notation.

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Q: Determine where the function f(x) = O A. (-∞, ∞) 1-00 O B. O C. O D. 3 3 3 (-∞0,²21) U ( 212,00) N/W…

A: we have to find out the values of x where function is continuous.

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

Q: Find the values of x, if any, at which f is not continuou a. f(x) = 5x²-3x + 7 b. f(x)= = c. f(x) =…

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Q: Q5.1 Let f(x) = x + 1, ax+b, 3x, x 4 is continuous everywhere. must use a valid mathematics…

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Q: Determine c and d so that f(x) is continuous if 1 x2 + c x + d x -2 C = II

A: Given query is to find the value of c and d.