Find (fog)(x) and (gof)(x) from the following functions:  • f(x) = 4x + 3 and g(x) = x - 1  • f(x) = 2 - x and g(x) = 3x + 4  • f(x) = 3x + 1 and g(x) = x² - 4

Q: The critical points of the function f(x) = a2– 14x + 12 are

A: Given function is f(x) = x2 - 14x + 12 Critical point of the function is the point in the domain…

Q: The critical points of the function f(x)= 3x -36x+1 are

A: The critical points of a function are the points at which the function is defined but its derivative…

Q: If f(x) = 3x+1 and g(x) = 5x^2 then (fog)(x) is

A: fx=3x+1  and  gx=5x2

Q: f(x) 1 and g(x) = 2x 1 and h(x) = 1 4x-1 flglh(x)]] = -3 1 3 1 3

A: Use function property

Q: Find the linearization of the function at a . f(x) = x 4 + 3 x2    , a = -1

A: We know that ,The linearization of the function at v=ais given by fa+f'ax-a

Q: 1) F(x) = Vx+5 %3D x2-16 2x-8 2) h(x) = Vx2-15x+56

A: The domain of a function is the set of values which can be input into a function without the…

Q: 2) Find the fixed point of the functions : A. f(x) = x² + 5x + 3 B. f(x) = x³ – 4x² + 6x – 2 C. f(x)…

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Q: f(x) = 3x + 5 g(x) = 4x² – 2 %3D h(x) = x² – 3x + 1 Find f(x) - g(x) – h(x). O - 5x + 6x + 6 O -5x +…

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Q: Find the Critical Numbers of the Function: f(x) (x2 + 6x - 7)2

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Q: Determine critical points of the function f(x)=∣∣x2−4x+3∣∣.

A:

Q: Find (fo g)(x). f(x) = 5x - 2, g(x) = – x² + 4x -1 O-5x2 +20x - 7 %3D | -25x2 + 40x - 13 5x +20x -7…

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Q: If f(x)= 2x-and g(x)=3x+1, what is f(x)-g(x)+g(x)²? O8x6+9x2+3x O8x+9x-x O8x+9x2-3x O8x+9x+x

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Q: b- Determine the critical point of the function f(x) = x5 – 5x* + 5x³ –- 1 %3D

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Q: 15 f'(x)= 6x° +8x³ - x and the initial condition f (-1)=- 2

A:

Q: x2 -16 f(x) = continous at x = 4. %3D x2 -3x-4

A: f(x) = x2-16x2-3x-4 continous at x=4 This can be solved using factorization of quadratic equation

Q: J. (g o h)(x) 8. (h og)(x)

A: As per the bartleby guidelines for more than three question only three has to be solved .Please…

Q: a. f(x) = 2x+9 %3D f-1(x) D %3D b. f(x) = 6x-2 %3D f-(x) = %3D C. f(x) = 3x-5 f-1(x) = d. f(x) = 4-…

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Q: x²-3x-4 if x>-1 x- 4 if x < -1 10.Why is f(x) = %3D x-4 discontinuous at x = -1?

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: If f(x)=2x−2f(x)=2x-2 and g(x)=x+1g(x)=x+1, then f(x)=g(x)f(x)=g(x) when x = − 2x = − 1x = 3x = 4.

A: it seems like to find the value of x for which both functions are equal.      given'…

Q: Find the critical numbers of the function  f(x) = x3 + 6x2  - 15x

A: Solution -  Given function is given as- f(x) = x3+6x2-15x…

Q: Find the minimum and maximum point of the function f(x)=x3-3x+1

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Q: If f(x) = 3x-1 +4 and g(x) = 4x-7, what is (f- g)(x)? %3D O A. (f-g)(x) = 3x-1 - 4x- 3 %D B.…

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Q: Find the critical points of the function f(x)=8x3−x4.

A:

Q: Coffee consumption in the United States is greater on a per capita basis than anywhere else in the…

A: Given, fx=2.77+0.0848x-0.00832x2+0.000144x3.   The objective is to draw the graph of given function…

Q: find the linearization of f(x)=x^2+4x-4 at x=2

A: Linearization formula, L(x)= f(a)+f'(a)(x-a)

Q: Find f(x) - g(x) when f(x) = 2x^2 - 4x g(x) = x^2 + 6x   x^2 - 10x   3x^2   3x^2 + 2x   x^2 + 2x

A: In a polynomial expression, the like terms are the terms with the same variables and exponents.

Q: (a) f(x) = 2r3(3 – 4x)

A:

Q: 7. Given the function 8(x)%3D4X' - 3x² +x-1, find g(0), g(-1), and g(x-x) |

A: Some important formulas (a - b)3 = a3 - 3a2b + 3ab2 - b3 (a - b)2 = a2 - 2ab + b2

Q: Analyze the critical points of f (x) = x3 − 27x − 20.

A: Critical points of a function at which f'(x)=0 or f(x) is not defined.  f(x)=x3-27x-20 f'(x)=3x2-27…

Q: Find f(-3), given x-2 げrs -1 f(x)3D| 3x+1 げェ>-1)

A: We need to find out f(-3) here x=-3 that means x≤-1.

Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

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Q: 1 a) f(x) = +2 x + 3 - b) f(x) = 2x+2²_3

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Q: No calculator. f(x) = 3 %3D g(x) = 4x –x

A: Given: fx=3gx=4x-x2 To Find: Limit of IntegrationArea of the shaded region

Q: 10. Given the functions /(x) = 3x² + 2x + x+1 and g(x) = 2x² – 1, find (f - 9)x. a 3x +x b. 3x +x+2…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: If f(x) = 3x - f(3) – g(2). 4 and g(x) -x², find the value of %3D 系 跳,, are

A: We can find the answer as below.

Q: The domain of the function f(x) Зх-12 is V2x-4 %3D a) {x/x > 4 and x + 2} b) {x/x > 2 and x # 4} c)…

A:

Q: Find the critical numbers of the function.   f(x)  = x3 + 6x2 -15x

A: Critical numbers of a function are the values of x for which its first derivative is zero or…

Q: f(x) = 5x -6 g(x) = 7x+ 12 h(x) 6x2 - 13x - 19 j(x) 3x2-x+ 26 k(x) = 11x – 9 m(x) = 8x2 - 13x - 34…

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Q: 2 f(x) = x² - 9 %3D (- 4,f(– 4)) = (0,f(0)) = (4,f(4)) =

A: Given that  f(x) = 2/(x2 - 9)  We need to find the following points. Now, f(-4) = 2/((-4)2 - 9)…

Q: Find / fx) + 3g(x)ldx if |F()dx = 5 and / g(x)dx = -9- -2 f(x) + 3g(x)]dx = i -2

A: We can find the answer as below.

Q: 4. Use a calculator. f(x)= 2x-x g(x) =-x -1 %3D

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Q: Find the local extrema of the functionf(x)=x2+x−2x−2.

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Q: 1. Find fog. f(x) = -4x + 6 A) (fog)(x) =-5x B) (fog)(x) =-4x² + 30x – 36 C) (f•g)(x) =-4x + 30 g…

A: Given : fx=-4x+6  gx=x-6

Q: 1. f(x) = -2x 2. f(x) = -2x + 2 3. f(x) = -2x² – 5

A: Given: fx=-2x, fx=-2x+2, fx=-2x2-5 We know that ddxxn=nxn-1…

Q: 1. Find fog. f (x) = -4x + 6 A) (fog)(x) =-5x B) (fog)(x) =-4x² + 30x – 36 C) (fog)(x) =-4x + 30 g…

A: f(x)=-4x+6g(x)=x-6

Q: -9x(x-2) 8. g(x)=(x²-3x² +1)* 8'(x) =. (2-3x²+1) 2x+1 (3x-1) 9. f(x)=2 _ 6(x² +10x+1) (x+5)* f'(x)…

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Q: -3x +4, x < -2 2²-2, x2-2' If f (x) = find f(-2). %3D

A: Given To evaluate  f(-2)=?

Q: 1 f(x) = x²- 4x %3D

A: