Find the following for the function f(x) = 3x2 + 2x- 4. (a) f(0) (e) - f(x) (b) f(2) (f) f(x + 3) (c) f( – 2) (g) f(5x) (d) f(- x) (h) f(x + h)

Q: What is g'(x) when g(x) = 1 3z²+6z+7 2z²+2x³

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Q: Find f(-2) for f(x)=3x2^x

A: f(x) = 3x2^x we can also write this as f(x)=3x(2x)

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

A:

Q: The graph of f(x) = 2x° + 15x² – 84x + 18 has two horizontal tangents. What is the negative value of…

A: Here, f(x)=2x3+15x2-84x+18

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

A: A detailed solution is given below

Q: The domain of f(x)=1/x is (−∞,0)∪(0,∞)(-∞,0)∪(0,∞). What is the domain of g(x)=4/x+3−7g(x)=4x+3-7?

A: Given the domain of f(x) = 1/x is (-∞ , 0) U(0 ,∞). We need to find domain of  g(x) = 4/x+3 -7 Now,…

Q: Find the points of inflection of the function f(x)=x3 / 1−x2.

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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: When the qiven function f(x) = cx^3 - 3x^2 + dx - 4 is divided by (x+2), the remainder is -34. When…

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Q: What are the local extreme values of the function f(x) = x - 3x² + 2?

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Q: Find the points of inflection of the function f(x)=x2 / 1+x2.

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Q: Find the points of inflection of f (x) = x5/3.

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Q: and how do you know?

A: Function: f(x)=17x^14-3x^11-5x^10+224x^8+84x^7-3x^5+32x^4-2 Leading coefficient is 17>0 So there…

Q: If f(x) =x^2 + 3 and g(x)= 3 -x then what is the the answer to the eqaution in the picture?

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Q: 4x2 +3x + If f(x) f'(z) - f'(3) =

A: fx=4x2+3x+2xTo find f'x and f'3

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

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Q: Find all the inflection points of f(x) = x4 – 2x3 – 12 – 5x2 - - -

A: The given function f(x)=x4-2x3-12-5x2

Q: The graph of f(x) = 2x³ + 6x² horizontal tangents. – 90x + 8 has two What is the negative value of x…

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Q: What happens to the values of f(x)=(x2-2x-3)/(x2-3x) as x ->0 ?

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Q: Explain how f (x) = (x − 1)2 + 3 is obtained from f (x) = x2.

A: Given f(x)=x^2, to obtain f(x)=(x-1)^2 from f(x)=x^2 we have to shift the graph to 1 unit right.

Q: Find f(x-2). f(x) = 2x² – 5x g(x) = 3x³ 2x-13x+ 18 2x2 - 5x + 18 8x+3

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Q: How many points of inflection does the function f(x)=x7-x2 have?

A: We have to find number of inflection point for the function: fx=x7-x2 We know that inflection points…

Q: Differentiate f(x)=(3x^(8)-x^(-2/3))(6x^(1/3)-e^(3x))

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Q: On the second line of the (f-g)(x) calculation why does it write as 2x+1-(3x-2) rather than…

A: On the second line of the (f-g)(x) calculation why does it write as 2x+1-(3x-2) rather than…

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

A: For function to be continuous

Q: 2. How does the function f(x) = -4x + 3x3 behave as x -00 and x 00?

A: The objective is to describe the behaviour of the given function in the ends .

Q: Find f'(x) of f(x) =3 + 2x²

A: Consider the given function fx=3+2x2   Differentiate the given function with respect to x.…

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

A: We have to find the end behaviour

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: Find the points of inflection of the function f(x)=2x4−3x.

A: Inflection point is a point on the graph of function f(x), where the second derivative f''(x) is…

Q: Find the points of inflection. 7) f(x)=x√√9-x2

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Q: 1.fし) -x' + 5 and glx) =x²+4x-12 ラ

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Q: The graph of f(x) = 2x + 6x2 – 90x + 21 has two horizontal tangents. What is the negative value of x…

A: Given that the graph of f(x)=2x3+6x2-90x+21-(i) has two horizontaltangents.Our Aim is to tell the…

Q: f(x)=3x2-4x-10 is then f'(1) will be

A: Given, f(x) = 3x2-4x-10

Q: 6. If f(x) = 10x – 5, what is f-1(ƒ (3))?

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Q: Differentiate from the first principle f(x) = x² +6x² + 3

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Q: Find the points of inflection of the function f(x)=x3−3x2−1.

A: Given

Q: 2) Find the domain of the function. 7 – 4x f(x) = 3x + 2

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Q: find the range of f(x)=x−4/x2−16

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Q: how can you figure out the end behavior of the function 1/2(x-1)(x+1)^3(x-2)^2

A: Given:The function is

Q: Find the points of inflection of the function f(x)=2x3+6x2−5x+1.

A: Inflection points of a function are the points where its second derivative is zero. Now…

Q: How many points of inflection does the function f(x)=x8-x2 have?

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Q: Find (f-1)'(a). f(x) = 3x3 + 3x2 + 4x + 2, a = 2 (f-1)'(a) =

A: The given function is; f(x)=3x3+3x2+4x+2  and a = 2 When x = 0, f(0) = 0 +0 +0 + 2 f(0) = 2 The…

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

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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: 4) Is y = -3x² + 12, x 20 a one-to-one function? Why or why not?

A: For one -one function F(x1)=F(x2) then x1=x2

Q: find inflection points of f(x) = (x^3)/3  -2x^2 + 3x -9

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Q: f(x) = x²+6x+5 2-1

A: I am attaching image so that you understand each and every step.

Q: Find f'''(-3) f(x)=4x^5-3x^4+5x^2-15

A: