14 [mx if x - 10 Let f(x) = x² + 9x - 4 if x ≥ - 10 If f(x) is a function which is continuous everywhere, then we must have m =

Q: 15. Discuss the continuity of the function f (x) = x²-4. x-2

A: To find the continuity of function we need to find the domain of function

Q: 5. What is the domain of the function h(x)= 11 X x 2 1 ?

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Q: evaluate the function. [3x – 1, if x 1 [3x – 1, if x 1 f(0) f(1) f(5) f(-4) g(0) 8(-3) g(1) g(3)…

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Q: (a) x(x – 3)*

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 16. Let f(x) = -x³ + 3x - 4 and g(x) = 2 – x. Find the composition (f(g)) and its domain. Rep the…

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: Let if a < - 5 if -5 < x < – 1 3 if -1<x < 3 f(x) = if a 3 and g(2) = / r(e)dt Determine the value…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: f(x) = 6x-1 ax + b 8x-1 for x 1/1/201

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Q: What values of a and b make the function f continuous everywhere? x² 4 a = f(x) = and b = - " X 2…

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Q: Find the domain of the function f(x) = /2x – 3 - In interval form, the domain of f is

A: here function is given in form of square root this can't be negative so the value inside is positive…

Q: Find the long run behavior of each of the following functions. If the function goes to o or -o,…

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Q: Consider the function f(x) : Find the value of B such that (3x + B if x> 3* f(x) is continuous at x…

A: Given: fx=2x2+3  if x≤33x+B   if x&gt;3

Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

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Q: O 4. For the function f(x) = x² – 3, Find f - 1/3-x² Ox-3 x² X 012-3 O 1-3 X (1)

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Q: What type of discontinuity occurs at x = 1 for the piecewise function? if x <1 if 1<x 3+ x h(x) =…

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Q: d) Find the value of the constants ' a’ and b ’ that makes the function continuous at x= 3 ах + b ;…

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Q: Show that the function x- 16 - f (x) = x + 4 4 - 10 x = 4 has a removable discontinuity at x = 4.

A: A real valued univariate function f=f(x) is said to have removable discontinuity at c in its domain…

Q: Let f(x) f-1( – 8) = Preview

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Q: B. Determine the function which coincides with f(x) for all values with the exception x = 5. (x² -…

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Q: state all intervals of x where f(x) is increasing.

A: TO FIND INTERVAL WHERE f(x) is INCREASING FIND f '(x) and see interval where f '(x) &gt;0 f(x)…

Q: e3-6-2, if x 3 = 3. 1. Determine if f is continuous or discontinuous at x = 2 and x =

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Q: Determine the domain of the function 3x h(x) = 지(x- 25 지x-25 x|x ++5, x+ 0 {지x* ± 25, x * 아} {x| x…

A: The domain of a function is the set of all possible inputs for the function.

Q: 1.) Let f(x) = 7 + What is f(3 + h)?

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Q: 4. Graph the piecewise function 3 if -1 2

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Q: At x = 3, the function given by f(x) = (x² (6х — 9 x < 3 x 2 3

A: Given: fx=x2          x&lt;36x-9    x≥3

Q: b) Find the Constants "a" and "b" such that the following function is continuous for all real…

A: We have to properties of continuity first.