Find the domain of the function f(x) = /x² – 2x – 15 Domain is (-00,-3]U[5,00) O Domain is (-00, 3)U[5,00) O Domain is (-00,-3]U(5,00) O

Q: The function f(x) = = √x 2+√√4x is. increasing on its natural domain increasing on (2, 3) and…

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Q: For what value of x does the function f(x) =x³ – - 4x attain the absolute maximum in the interval…

A: Second derivative test: If the function f is twice-differentiable at a critical point x (i.e. a…

Q: Q4, Find the domain of Hi function few =J2x+5-1 三J2×+3 -1

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Q: 1. How to define the function, f(x, y) = 15x+4x*y+15y 3x+3y to make it a continues function?

A: We have to find the given function is continuous.

Q: Differentiate f(x) =- from the first principles. x2+3

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Q: Find f. f "(x) = 5/ /1 - x2, = 2 ()- 2. f(x) =

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Q: V7x+2-V6x+4 = )f(x مستمرة عند 2 = ۲ if x 2 and x # 2 1- قيمة الثابت الذي يجعل الداله (x-2) if x = 2

A: Continuous at x=2,  using rationalization

Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: ax+bx+4 ifgと- ニ bx*-2 × ifメ

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Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

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Q: Find the value of the constant k that makes the function continuous. 2x-2x-12 if x+3 g(x) = , x-3 kx…

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Q: How does the function ƒ(x) = x2 - 1/x - 1 behave near x = 1?

A: The given function is f(x)=x2-1x-1 we have to check the behave near x = 1

Q: How do you solve question 4?

A: We are given the function, f(x) = x4 – 2x2 + 3x. Here, we need to show that the function f(x) has a…

Q: domain of f(x)=V9– x² is 1- (9,-9) 2- (-3,3) [-3,3] [9,-9] 2- 4-

A: Explanation of the answer is as follows

Q: 2. The owner of the rectangular lot wants to put a fence around the area using 120- meter barb wire.…

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Q: What are the valuesbof x where tge functions f(x) = (3x+2)(x+1)\x+3 is undefined?

A: Consider the function f(x)=(3x+2)(x+1)x+3

Q: Find the value of the constant k that makes the function continuous. 2x - 5x - 25 if x +5 g(x) = х -…

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Q: Find the absolute maximum and absolute minimum of the function f (x) = x³ – 3x²+8 on the interval…

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Q: Consider the piecewise function if x 2 x² - 4

A: The function is said to be continuous at x=a If, limx→a-f(x)=limx→a+f(x)=f(a) The given function is…

Q: find inverse of funchion. f(x) : 3x2+ 4x-3

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Let f(x)= x^2+6x+2 find f(-4)

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Q: Differentiate the function using four-step rule

A: 1) As an step 1 in four step rule we should add h to f(x)  f(x+h)=3(x+h)+82(x+h)…

Q: Find f(5) and f (x² + 3) for the function f(x) = -x + 2 %3D

A: Given,           f(x) = -x + 2

Q: What is f(x)* h(x) if f(x)=6x²-2X+2 and h(x)=, 1?

A: f(x) = 6x2-2x+2  h(x) = 1/2x

Q: Find the interval in which the function given by y = 4x3 - 6x2 – 72x + 30 is decreasing. O A. (-…

A: Given that the function is      y = f(x) = 4x3-6x2-72x+30 Here we have to find the interval in which…

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>-2

Q: A once-popular dog’s chew toy is slowly declining in popularity. The quartic function…

A: Given that x is the number of years since 1993 So 2001 means x=2001-1993=8

Q: Find f'(2) for f(x) 2 (x-)-

A: Given; f(x)=(x-1/x)^2 We have to find f'(2)=?

Q: Find f'(x). f(x) = -9 Inx+ 2x² - 10 f'(x) = [

A: The function f(x) is given by,f(x) = -9 ln x + 2x2 - 10

Q: The function f is defined by f:x --> 10-(x-3)² for 2

A: To find: The value of function at . Calculation: Substitute in function.

Q: differentiate find f'(t) for f(x)=(2x-2)(3x^3-x^2+1)

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Q: Identify the intervals of increase and decrease of the function f (x) = 3x* – 4x + 1 in the interval…

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Q: x + 2 f(x) = x2 - 2x - 8 : ---Select-- ---Select--

A: Given query is to find the value of x where function is discontinuous.

Q: Find the function f(x) = -4x^2 + 3x-1 1. F(-2)

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Q: Find the all extreme points of f(x) = x³ – 6x2 + 9x – 3 is or [-2, 2] ? |

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Q: How do I find th end behavior of f(x)=-(x+1)^(2)+4

A: f(x) = -(x+1)2+4 =-x2-2x-1+4=-x2-2x+3

Q: Find f'(-1) if x(f(x))^3+5x^3f(x)=-18 and f(-1)=2

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Q: Find the domain of the function. 4) f(x) = x2 + 3 A) (-«, -3) u (-3, ∞) C) (-3, «) 4) B) (-*, «) D)…

A: We will find out the required domain.

Q: Let f (x) = 2x and g (x) = 3x² + 1, find(go g) (x). Show your work using the Equation Editor Tool.

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Q: Find the first 3 Iterates of the function f(x) = - 2x + 3 when x 3 =0 . 3, - 3, 9 - 2, 0, 2 2 z, -…

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Q: Find f(-x) when f(x)=-3x2+3x-4

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Q: R(x)= ex-1

A: Domain of a function is the all possible values of x such that f(x) exists finitely. for f(x)…

Q: For what value of X does the function f(x) = X3 - 3X2 attain the absolute maximum in the interval…

A: topic - absolute maximum of a function

Q: Find the value of the constant k that makes the function continuous. 2x - 3x- 20 if x#4 g(x) = x-4…

A: A function f(x) is continuous at a point x = a iff:

Q: Find f-1(x) for f(x)=3/x2, x > 0 f-1(x)=

A: Replace f(x) by y.

Q: Identify the removable discontinuity. f(x) =  x3 + 2x2  over  x + 2

A: Given query is to find identify the removable discontinuity.

Q: A company operates a fleet of delivery trucks. Study shows that gallons of fuel consumed per mile of…

A: Given Fx=k1x+k2x Differentiate w.r.t. x, F'x=-k1x2+k2F''x=2k1x3

Q: Find f. F"(x) = 20x³ + 12x²+ 4, f0) = 4, ( 1) = -1 Ax) =

A: Let us denote y = f(x). So,…