Question 5 Select all the following Rational Functions below: Oy = = ! O y = 2? - 1 O y = 2 + 32 5 z 23z 13z 57 18z 185z+ 22r 592r|123 y = z|-1

Q: QUESTION 3 Find and simplify the difference quotient f(x + h) – f(x) hz 0 for the given function.…

A: Given f(x)=8x2 To find the difference equation f(x+h)-f(x)h, h≠0

Q: Question 15 Given the function f(x) =4x- 39x2+90x +2 which of the following describes its absolute…

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Q: Question 5 Assume that dx = 3, f(x) dx = e, g(x) dx = -3, g(x) dx = , and f is an odd function and g…

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Q: Question 18 x +5 What is the domain of the rational function y = %3D x +9 Answer F {x|x e R, x # -3}…

A: We have to find domain

Q: Question 14 Find f(1, 3) for f (x, y) =2x³y²+2y + 4x. The f(1, 3) is Blank 1. Blank 1 Add your…

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Q: Question 5 Given that 10x6 + 3x- x² f(x) = x2 a) Simplify f (x) b) Hence, or otherwise, find g(x) =…

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Q: Given f(x) = -5x + 5 and x = 3r In (2s). Find f, (4, 3). Give your answer correct to two decimal…

A:

Q: Question (3): Determine the absolute extrema of the function f(x) = x² + 2x - 4 in the interval…

A: Given :f(x)=x2+2x-4   [-1, 2]

Q: Question 4 of 10 Which of the following rational functions is graphed below 10 -10 10 - 10- O A.…

A: Given

Q: QUESTION 8 When given f(z)-3z-2z + 8, find f(x) when x = -3. 29 O 41 -13 23

A:

Q: Given f(x) = -5x + 5 and x = 3r In (3s). Find f, (2, 5). Give your answer correct to two decimal…

A: The given functions are: f(x)=-5x+5             and              x=3r ln(3s)

Q: QUESTION 1 Given f(x) = 2x + 1 and h(x) = x2 - 3, find a) f-1(5) b) f-1h(x) c) the value of x…

A: (gof)(x) = g[f(x)].

Q: Question 3 Suppose f(x) and f'(x) have the values shown in the table below: 1 2 3 4. f(x) -1 -3 -1 1…

A: The table having values of f(x) and f'(x) is given by To evaluate : ddxf(x)5  at x=0

Q: Question 7 of 9, Step 1 of 1 Correct Find (f• g)(4) for the following functions. f(x) = 3x + 3 and…

A: We have to find

Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = x* - 4x2 + 3 (a) Find the…

A: The given function is f(x)=12x4-4x2+3 ..................................................... (1)…

Q: Question 14 Which of the following is a proper rational function? 工3 O f(x) = 13 エ 16 O f(x) 1. O…

A:

Q: Question 9 of 10 For f(x) = 3x+1 and g(x) = x² – 6, find (f- g)(x). O A. -x+3x- 5 O B. x - 3x - 7 O…

A: That's easy, just subtract corresponding functions.

Q: Q1-A/Find the domain of the following functions. 1-f(x) = √(sin(x) - 1) 2-f(x)=-/In(5x-x²/4)

A:

Q: QUESTION 3 Given f(x)=+X and g(x)= /x–4. 2 - X a) Find the domain of f(x) and g(x). b) Find (f-1…

A:

Q: QUESTION 13 For the pair of functions, find the indicated composition. f(x) = 5x + 7, g(x) = 4x - 1…

A: In mathematics, function composition is an operation that takes two functions f and g and produces a…

Q: Question 8 Given f(x)=x and g(x)=-+2, determine: a) (fog)(2) b) (gog)(-1) c) (gof)(x) =

A: The solution is given as

Q: Question 2 Suppose f(6) - 5 and f'(6) = 5. Find the following. = da ((7x² + 3x + 5) el(z)) at x = 6…

A:

Q: 2 1. f(x) = x-3 2. f(x) = x-2 3 Зx+2 3. f(x) : %3D х+5

A: We know domain of rational function f(x) =p(x)q(x) is whole real number except those values of x…

Q: Question 5 For the pair of functions, find the indicated composition. f(x) = 4x + 5x + 6, g(x) = 5x…

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Q: Question 24 The function f (x) = 2x² – 8x + 4 is increasing on the interval ... A [2, ∞ ) B (- ∞ ,0]…

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Q: 6 Given the function f (a) = , find f'(1). Express your answer as a - single fraction in simplest…

A: This question is related to differentiation, We will solve it using given information.

Q: Question 6 Given the function,y = 7a-3 which of the choices is the correct fourth step based on the…

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Q: For the function defined in question III above: 1. Compute (fof o f )(x) and simplify so the result…

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Q: 4 + 2 -3 -2 -1 3 х X. Figure Q1(d) Find the positive root of f(x)=x²-sin x as shown in Figure Q1(d)…

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Q: Question 7 Find f(x), when f'(x) = xe and f(0) = 1. A) ²e²² +1 B) re +1 C) 1 D) ez² +2x²e²² E) /e² +…

A:

Q: |Suppose f"(x) = -25 sin(5x) and f'(0) = 2, and f(0) = 1. %3| f(t/3) =

A: We find f'(x) by integrating then find C using f'(0)=2

Q: Given the following functions:  a) a(x)=3x+7  b) b(x)=x^2-20x d) d(x)=x^2+20/(x-2)(x+7) e)…

A: Answer(a)

Q: 2) Given: f(x) = (x-1) (x+ 1) was transformed to (x) = (x- 1)(x+ 1)-1. How many roots would the…

A: f(x)=(x-1)2(x+1)2 was transformed to f(x)=(x-1)2(x+1)2-1.

Q: Sketch g(x) = -2f (x + 5) – 3 on the same graph. 10 y=f(x} -10 -8-6 42 6 8 10 -8 -10 4) 2, CO 4.

A: As per our guide line i am supposed to answer only one question , Re-post second question separately…

Q: Problem # 3 Find h(t) = L'{H(s)} for each of the following rational functions: 18s2+66s+54 a) H(s) =…

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Q: Question 3 Find an overestimate for f dA where R is the rectangle 12 < x < 30 10 < y < 30 using Ax =…

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Q: Suppose f"(x) = -16 sin(4x) andf'(0) = -4, and f(0) = 1. f(T/2) =

A:

Q: QUESTION 8 The function fix)--4 x-12 x+L, is increasing on the interval OA (-0,-2)U (0,2) OB. (-1,0)…

A: The derivative of a function may be used to determine whether the function is increasing on any…

Q: 1. Consider the following equation. y -2a + 3, a = 3, b = 8 Divide the interval (a, b] into n = 4…

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Q: Which of the reciprocal functions has a vertical asymptote at = 3 a) f(x) = 1 За+1 O b) f(x) = 1 3…

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Q: Question 8 Given the function y=x³+x2- 2x+ 1, which of the following statements is true for when x…

A: D)delta(y) almost equal to dy becomes better as delta(x) becomes smaller

Q: Question 14. By factorising the numerator and denominator, simplify the algebraic fraction 22 + 11a…

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Q: Question 5 Given the function: 5x 6 x < 0 ƒ(z) = { 5x 12 x 20 Calculate the following values: f(-1)…

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Q: . f(x) = x² – 5x + 4, [1, 4] -

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Q: QUESTION 7 Find and simplify the difference quotient Ix + h) - tx hz o for the given function. f(x)…

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Q: Question 9 2x+1 Consider the rational function f (x) = %3D I-5 4. What is the Inverse Function? 5.…

A: Given query is to find the inverse of f(x) and then find its range.

Q: -6x If f(x) = -3. then f'(3) = x+3 (Answer accurate to 2 decimal places.)

A: Given fx=-6xx+3 The quotient rule of differentiation states that ddxuxvx=vdudx-udvdxv2. The power…

Q: Question 5 Find the critical numbers of the function, g(t) = tv4 – t where t < 3.

A:

Q: Consider the following. (If an answer does not exist, enter DNE.) 2/ 3 f(x) = x (x – 8)

A: Given,         The function is fx=x23x-8.

Q: Question 1 Differentiate the following with respect to x: (You need not have to simplify your…

A: a) Given:       y=3+2x234     we can write as       y=3+2x2314       y=3+2x234  differentiating…