1. Are the statements always sometimes or never true. Explain and justify your reasonings. A. f(x) + g(x) = g(x) + f(x) f(x) g(x) g(x) f(x) B.

Q: 2. If f(x) = e*+ °, what is f"(x) ? x'+ 5

A: Given that f(x)=ex2+5 find out f11x

Q: Suppose that 2 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of…

A: Given that, Suppose that 2 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum…

Q: #9: Suppose you have a function f (x) that has x intercepts as -3, 1, and 5. If f(0) = -20, what can…

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Q: What happened to the grap f(x) = -Ix • || • 2 f(x)

A: Please refer to the image below

Q: 12- If f(x)=v3x , g(x)=x/5, and h(x)=6x a. f(h(g(x))) b. f(g(h(x))) c. g(f(h(x))) ·

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Q: Let h(x)=f(x)−g(x). If f(x)=9x^2 and g(x)=8x, what is h′(−5)?

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Q: 19) What is the domain of the function f(r) - +2? 2n=1 n3"

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Q: Find the value of c such that the domain of                                                     f(x)…

A: f(x) = c-x2for domain of f(x)c-x2≥0x2-c≤0

Q: Soal Latihan 1: Diketahui f(x) = 2x − 5 dan - 1-6x g(x) = 3r+2

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 4. Compare and contrast f(x) and g(x). g(x) ={-x - 3, when r< -2 (x+ 1, when x2-2 f(x) = |x + 2| + 1

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Q: Is x =0 in the domain of gex)- x-4x

A: Yes,x=0 in the domain of g(x) Here is detailed proof is given.

Q: 22 Which value of x is NOT in the domain of the function f(x) %3D 11x 33 -

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Q: 2 What is the value of f'(0) if f(x) = (x² – 2x – 1)3? %3D 4 3 Option 1 Option 2 4 2 3 3 Option 4…

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Q: 2. Consider the problem u"(x) + u'(x) = f(x) u'(0) = u(0) = [u'(1) + u(1)], with f(x) a given…

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Q: Find the value of c such that the domain of f(x) = √(c − x2 )   is [−5, 5].

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Q: 9. What is the domain of the function f(x) = Vx- 3? | A. (3, 0) B. (-00, 3] С. [3, о) D. (-00, 3)

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Q: (c) Show that f(x)>0 for all values of x, x # -2.

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Q: 3.) Give the coordinates of any points of inflection. f(x) = x³ + x² – x +1

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Q: The critical point of the function f(x) = x³ – x? + 2x - 23 is (3,2) (금, -2) (음, -2) (금,2) |

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Q: x2 – 4 3. Do you agree with the contention that the functions f(x) = x + 2 and g(x) х — 2 are the…

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Q: Let k(x)=f(x)g(x)h(x). If f(x)=−3x+4,g(x)=−x+4, and h(x)=−3x2−4x+3, what is k′(x)?

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Q: Example: find the extreme values of the function f(x, y) = xy – x² - y² – 2x – 2y + 4

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Q: Let h(x)=f(x)+g(x). If f(x)=2x2 and g(x)=8x5, what is h′(x)? Do not include "h′(x)=" in your answer.…

A: We have been given h(x) = f(x)+g(x) and f(x) = 2x^2 and g(x) = 8x^5So we can first write a function…

Q: 11b. Consider the function f(x)=5x* – 4x³ +4. Isƒconcave up or down at the point x = -0.2? A.

A:

Q: 14. If Ax) = X+3 and g(x) =x² + 5, what is f(g(4))? 2

A: We know that  (fog)(x) = f(g(x))

Q: Let h(x)=f(x)+g(x). If f(x)=x4 and g(x)=6x3, what is h′(−3)?

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Q: 17. If f(x - 1)+ 2/(1 — х) %3 3х, what is f(x)? А) -Зх + 1 В) х—3 С) -х +3 D) -3x – 1 |

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Q: -16? 61. What is the domain of the function f(x)} 29

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Q: (8) If f(x) = x² – 3x, what is f(x +h) - f(x) =? h (x² + 2xh + h²)-3(x+h)-(x²-3x) = 2x – 3 + h (x² +…

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Q: 1. Suppose: f(x) = 2x + 5, g(x) = - x². a. Find g 8(S(x)) 'b. Is g(f(x)) one to one? Justify your…

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Q: 14. The range of the function f(x) = 3x² - 2x+8 is {13,29}. What is the function's domain? a. {1,-2}…

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Q: Let h(x) = f(x) + g(x). If f(x) = 2x² and g(x) = 8x5, what is h'(x)? Do not include "h' (x) =" in…

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Q: Example: find the extreme values of the function f(x, y) = xy – x² -y² – 2x – 2y + 4

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Q: 20.) Find function the Ceroes algebraically. of the f(x) = x² - 6x +8 4x X = ?

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Q: Show that x - c is not a factor of f (x)for anyreal number c.

A: We have given fx=-x4-3x2-2 We can see here fx&lt;0 for all x belong to set of real numbers. If x-c…

Q: how do i find the coordinates of the zeros of f(x) for x e [0 , 2π]? f(x)=3sin2(x-π/3)

A: General solution of sin(x) = 0 is     x = nπ where, n = 0,1,2,3......

Q: What is g (x) - h (x) if h (x) = -3x and g (x) = 2x"? Put your answer in standard form.

A: Given: g(x)=2x2h(x)=-3x The objective is to find the value of g(x)-h(x)

Q: Find the value of x for which the value of the function f(x) = x3 + 3x2 - 2 is minimum?

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Q: x2 – 4 3. Do you agree with the contention that the functions f(x) = x+ 2 and g(x) х— 2 are the same…

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: 6. Given that f(x) = 3x? + 1, find +h)=[(x)

A: Given f(x)=3x2 + 1

Q: 6 — 2х if x x2 – 16 For which x E R is f(x) continuous? You must give j your answer.

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Q: Consider function m. -8 -6 -4 fo m(x) 8- 6- 4- 2- -2- -8- What is the domain of function m? 8 X

A: Here given graph as

Q: 5. Does the function f(x) = e2x - 2x have any points of inflection? Justify your answer.

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Q: x2 – 4 3. Do you agree with the contention that the functions f(x) = x + 2 and g(x) x - 2 are the…

A: No, the functions f(x)=x+2 and g(x)=x2-4x-2 are not same in every aspect. Two functions f(x) and…

Q: 3. What is the domain of y =f°(e) # f(;)={-1°?

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Q: If g(x) = bx + a, f(x) = ax + b, ƒ (1) = 8, and g(2) = 11, what is g[f(2)]?

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Q: 4 If f(x) = x* + 6, g(x) = x – 7, h(x) = Va, then - fogo h(x)=

A: This is composite function so solve inner first than outer.

Q: 8. A student writes the following for the function f(x) 2 x¯- 8x+8 “ The domain of f(x) is (-∞, -4)…

A: Consider the given function as fx=x-2x2-8x+8

Q: 3. 3 Z =6x,-Xg + X, + X, find the endpoints of the function

A: Given fx1,x2=6x1x2+x13+x23 To find the endpoints of this function: The endpoints are given by the…

Q: 1 Let f(x) = x° and g(æ) x. 5 What is (fo g)(x)?

A: Solve the function

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: