5х + 4, x < 0 f(x) 5x + 8, х2о (а) f(-1) (b) f(0)

Q: 5. f(x) = x², 6. f(x) = 1- - g(x) = 4x + 5 3 x + 3 7. f(x) = x + ₁1/2x - 3, g(x) = 1 x-1 g(x) = 3

A: As per guidelines we can answer only one question at a time so if you need more answer kindly repost…

Q: lim 3/2 8 x→ 4 x -- 4

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Q: Find the limits

A: We will find the limit by substitution

Q: im ³√2x²-10 x-->3

A: Given : limx--&gt;32x23-10 To find out limit we plug in 3 for x directly inside the cube root

Q: f(3) - f(-1) f(x) = 4x² - 3x +2

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Q: 3. f(x)=-5sin ax+- 江x- +2 2

A:

Q: .22メ-3 when x=-3 G-メフナス

A:

Q: lim (8x3 - 4x² + 4) X--1

A: Given,            limx→-1 8x3 - 4x2 + 4

Q: Sketch the graph of the function.

A: Definition used -               The domain of square root function -  We know that number inside…

Q: 2-5. -1sx<0 3x, 0<x<1 4, f(x)= x=1 - 2x +5, 1<x<2 3. x=2 1, 2<x<3

A:

Q: 2 х* —4х lim x→4 x² – 3x -4 — Зх

A: Here we use the L.hopitital rule to evaluate the limit.

Q: 3. Solve f(g(-2)) if f(x): and g(x) = 8 + 5x 3 + 2x

A:

Q: 5x3 — 6x2 + 7 1. lim 8x2 — 15х3 х — 1 2. lim х--о х3 — х2 + 2х + 4

A: The objective of the question is evaluate the limit of the given functions.

Q: х —2 Га) lim x4-X-4 x- 3 (b) lim х+2 (х — 2)2

A:

Q: lim X-4 (x²-3x-4)² X-4

A: We need to evaluate the following limit limx→4x2-3x-42x-4

Q: 33 + 5f(x)+7²(f(x))° = 0 and f(-2) = –1, find f'(-2).

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Q: 2. f(x) = Sx + 2 Solution: Domain Range 3. f (x) = Solution: Domain Range - SK) = x² +2 Solution:…

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Q: f ''(x) = 8 + 6x + 36x2, f(0) = 5, f (1) = 16

A:

Q: lim f(x). V5-2x2 <f(x)< V5-x² for -15xs1, find

A: Since both the function lies in interval for x=0. Hence let us find the interval  for the first…

Q: 4 lim x→3+ \ x²+3x-18 7x2-11х-30.

A:

Q: What is the end behavior for this equation? f (x) = - (x+3)² +1 As x-∞, f (x) →→→→→∞, and as →→→∞, f…

A:

Q: 4. f(x)2-と x+ x2-2 5. f(x): Xー

A: Given: Notice that the first function is not defined at x=-2 and the second function is not defined…

Q: 4. lim x5 – x* – 2x3 – 3x2 – 2x + 1 X--00

A:

Q: 3. f(x) = x+2 4. f(x) = /2 x-7/ when x -3.8 (x-3, x<1 5. f()-1+5, x21' table of val:

A:

Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: 3 x + 3 ' 7. f(x) = x + 2x - 3, 3 2 8. f(x) x-3 x-2’ 6. f(x) = 1 -- = g(x) : - x - 1 g(x) = 3 = g(x)…

A: We can find the value of 'x' for which f(x)=g(x) . Note : As per our Guidelines we can solve first…

Q: f(x)-f(-1) X-1 Where f (x) = 2x-6

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Q: -f(x) = x2 +3x-40

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Q: 2. f(x) = √x²-4 if x<2; √x-2 if x≥2 ; a= 2

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Q: 1 -(x-6)* +5 f(x) = - 2 1 g(x): =-x -4 4

A:

Q: Lim            [4(2x-1)2-196]/(x+3) x-&gt;-3

A: Given that the limit is

Q: (x² +7x-7)(3x-4) (3x-1)(x²–9) 7. f(x) = Show your solution applying Quotient and product rule 8. у…

A: We have multiple question since our guideline is solve first problem only.

Q: 10 -8 -2 10 -2 -4 -6 -8 -10 for f(x) = |3D for 8 4.

A: We will find out the required equation of given piece wise function.

Q: f (x) = x2 - x - 2; [-4, 5] [-4, 10]

A: The function is the unique relationship where each x is mapped to a unique y. It can be of any type,…

Q: I need help with number 21

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Q: (а) 5x-3 – 4 (i) Lim x-00 2x-2 +9 (х — 3)2 (ii) Lim x-00 x2 7- 2x – 3 2

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Q: 8. f"(x)= 1 2 f'(-1) = 2; f(-1) = 4 x²

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Q: (i) f(x) = x³ – x² - 8x + 1 on [-2, 2]. (ii) f(x) = x³ + x + 1 (iii) f(x) on [-1, 1]. = 3x* – 8x³ +…

A: Please see the below picture for detailed solution.

Q: f4) = (/4x² +8 - x²)* (8x + 4x)V4x2 + 8 - 24x - 32x V4x2 +8 If then f'(x) =

A:

Q: ² -9, x 3 3. f(x) = {2-x, -2 2

A: 2. Given, The function f(x)=x2-9,    x&lt;33,            x=39-x2,     x&gt;3 Clearly function is…

Q: x-2, xS-2 3) f(x) = %3D (-x-3, x>-2

A:

Q:

A:

Q: 19. f(x)=x²-5

A: Topic = Functions As per guidelines , At a time only one question can be answered out of different…

Q: ) f(x) = V4 - シx-2 x- 2 %3D 1 8) f(x): %3D 9) f(x) = 1 %3D Vlx|-x 1 10) f(x) %3D |x|+x^ 11) f(x) =…

A:

Q: f)-\2+1 x>-5 3x-2 xS-5 find f(-5) and f(3). x +1 x>-5

A: For f(-5)    at x=-5  first function is given so put x=-5  in first function. And for f(3)   it…

Q: lim *2+x-6. x²-4 2–4 is x-2

A: If we put the value of x as 2 in the given expression, The form will be 0/0 Because 0/0 is of…

Q: (а) 5x-3 – 4 (i) Lim X-0 2x-2 + 9 (х — 3)2 (ii) Lim 7- 2x -3 2х — 3

A: to solve the limit proceed as follows…

Q: 5. f(x) = -, -2 < xS 2

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.