Finf two functions f and g such that (f ∘ g)(x)=h(x). H(x)=1/(x+2)

Q: x2 - f(x) Let k(x) = %3D 2x- 3 Find k' (-1), given that

A: Given:-k(x)=x2·f(x)2x-3f(-1)=-2f'(-1)=3To find k'(-1)

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

A: Now differentiating with respect to x, we get

Q: of these functions has a fixed point. What happens when you iterate them 3. Consider the real-valued…

A: Since we know that, fixed point is the intersection point of y=x and y=f(x), it means graph of line…

Q: (f + g - h) (x) f(x) = x + 4 g(x) = 2x2 + 2x h(x) = x² + 1 %3D O x2 + 3x + 5 3x2 + 3x + 5 O x2 + 3x…

A: We use the sum and difference of functions to answer the given question.

Q: Find the critical numbers of f(x)=x²e* %3D Select your answer

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Q: f(x)% 3D -x2 f(x) = -x2 0. 0. 土4 土3 ±2 -1 土1 士4

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Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

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Q: 1- V1+ 36x2 Let f-(x) = 2x V1+ 36x? 2x f(f-(x)) %3D 1. V1+36x 6. - 2x

A: Here, the given function is: f-1(x)=1-1+36x22x Let,…

Q: f(x)={0: x is less than or equal to -1, ax-b: -1 is less than x is less than 1, 3: x is greater than…

A: we have to find value of a and b so function to be continous

Q: x²+2x=1 then f'(1) is Let f(x) = 2x3+1

A: we have given f(x). And we have to find f'(1)

Q: 3 Determine the intervals for which the function f(x) = x° + 18x +2, is decreasing.

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Q: The Range of f(x) = V1-x is 1. [-1, 0) 2. (-, 1] 3. (-0,0) 4. [0, 0) 1 2

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Q: 4-x Evaluate f dx. 16-x2

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Q: Using the (e- 6) definition, show that f(x) = 3x – 1 is continuous at point x = 1.

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Q: f(x) =2x²-3x-Sand g(x)%3D3X²-4x+ find: @ (fig)(x) (f-g)(x)

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Q: f(x +h) – f(x) For f(x) = - 3x - 2x - 2, find h f(x + h) - f(x) h

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Q: 4-x dx. Evaluate f: T16-x 16-х2

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Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

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Q: f(x) = 2/(x^2+1) -1  is f(x) continius?

A: The given function fx=2x2+1-1 Since x2+1 is always +ve. Therefore, 2x2+1 is always positive and real…

Q: 4-x III. Evaluate f dx. V16-x

A: Let's find.

Q: 6. If f(x) = x - 1 and gx) 3x + 10, what is f(g(-6))? %3D %3D

A: Given,    f(x) = x2 -1 g(x) = 3x + 10   To find : f(g(-6)) =?

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

A: A Function f has a local maximum at a point x0 if the values f(x) of f for x 'near'x0 are all less…

Q: 2. Derivative of f(x) = - 9x + 4 is: a) 9 b) - 9 c) 4 d) 0

A: Derivative of constant is 0

Q: x+1 Is the function f(x) - X2 *Xく2 ;ン2 x >2 2X-1 continuous at x= 2? Why or why not? Show solution.

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

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Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

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Q: The critical points of the function f(x) = 16x² – 2a4 occur at x = 0, x = +1.00 O r = 0, x = ±1.60 O…

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Q: Evalvate f(f(f(2) X+5 for x5

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Q: 3. f (x) = x+2 %3D So Domain Range 4. f(x) = x2 + 2 fl-

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Q: Describe the end behavior for this fucntion F(x)=x^4-2x^2+3

A: The given function f(x)=x4-2x2+3

Q: 5. f '(x) = 7x + + – x³ find f(x) if f(0) = 7 -

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Q: f(x+h)-\x) for: Find the 1. f(x)=x² - 5x - 1 %3D | 2. f(x) %D

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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: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

A: Please refer the attached image for complete solution.

Q: 3 < x < 2/3 < x < 3/2

A: The given function is fx=3x4-4x3. To find: The interval on which the given function concave…

Q: f (x) = esin(x²), [0,3]

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Q: Find f. f '(x) = 4x − 3/x4,  x > 0,  f(1) = 7

A: given that f'(x)=4x-(3x/x4) and f(1)=7. we need to find the f(x) value. consider f'(x) and integrate…

Q: erse of f (x) = }x +1. w

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Q: the local maximum and local minimum values of f using both the First and Second Derivative Tests.…

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Q: Find the interval on whih f(x) =x2-3x+8 increasing or decreasing

A: Given,        fx=x2-3x+8

Q: 5. Find g"(x) for g(x) = sec x. %3D

A: At first find differentiation of g(x) = sec(x). As g'(x) = sec(x) tan(x) Then differentiate it again…

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: Find f'(x). f(x) = e – x³ arctan(x) -(3 + 3x2 arctan(x) + arctan(x)(3x4)) x2 +1 f'(x)

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Q: First principle of f(x) 6÷x

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Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

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Q: Find fqix(q|x) for x € {0,1} and all q.

A: Given Information: Q be the continuous random variable with pdf, fQ (q) =6q(1-q)       ; 0≤q≤10…

Q: f(x)= (x)/(x-2) AND g(x)= (6)/(x2-1), find f(g(x)) and its domain

A: We have given the functions

Q: the intervals where the function is increasing and the interval is decreasing  f(x) = 1/3x^3 - 5x^2…

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