-3 -2 -1 1 -7 -5 -3 -1 f(x) 3 5 7 -1 g(x) 8 3 3 a. (f • g)(1) b. (f • g)(-1) c. (g •f)(-1)

Q: 4. f (x) = 5 - x and (gof) (x) = x2-10x + 30 since the function g(x) is the following- which is…

A: The solution is:

Q: f"(x) = -2 + 36x – 12x², f(0) = 2, f'(0) = 14 f(x) :

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Q: 4x2 + 3x + 2 If f(z) = then: f'(z) - f'(3) -

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Q: 3-17. + -2 -1 1 2 f(x) 0.2 0.4 0.1 0.2 0.1 (a) P(X-2) (d) P(Xs-1 or X = 2)

A: Since, you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1X-41 13. What is f (-7),ƒ(- 5) f(- 3),f(-1),f(1),ƒ(3),f(4) IX-71 D B 1. 14. What is f (-7),ƒ(- 5)…

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Q: In Problem, the graph of a function is illustrated. Use the graph of as the first step toward…

A: The graph of f(x) is given . we need to graph F(x)=f(x)+3 The graph of f(x) will be shifted 3 units…

Q: (r-1) (x-1) If f(x) = (2x+5) and g(x) = then the function (2) (x) is (2x-5) (2x+5) a) (E) (x) =…

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Q: - + 2 = -5 Check your work: f( ) = 2 + 2 = -5 %3D %3D -6 7.

A:

Q: 7. f(x) = x + √√/2x - 3, 3 2 x - 3 x-2' 8. f(x) = g(x) = 3 g(x) = = 3 r2 – 5r+6

A: Given  7.   f(x) = g(x)

Q: A-0 ********* ****** Q9: If f(2)= 3, f'(2) = 4, g(3) = 6, g'(3) = -5,K(x) = f(g(x)).then K' (3)=(A)…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 2х - 2 -1< x<0 f (x) = {-2x – 2 (5 (x+2) 0 <x<1

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Q: Find f′(x) and f′(c).

A:

Q: Let f and g be defined by the following table:

A: We have the given table :       x  f(x) g(x) -2 6 0 -1 3 4 0 -1 1 1 -4 -3 2 0 -6…

Q: f() --1.5" and g9(2) = -2.7 1.5" and g(z)= -2.7 3. A. B. A: B: a. f(x) b. g(z)

A: To solve the following problem

Q: X x-6 (a) f(x + 1)) 7. f(x) = 8. [x²-3, x≤-1 x + 4, x>-1 g(x) = (a) g(-2)) (b) f(0) (b) g(3) (c)…

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Q: A. В. C. f (x) = f-1 (x) = ƒl (x) x+5 е 2 102 + 5 102x+5 D. f (x) = f-1 (x) = f' (x) e2a + 5 Е. F.…

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Q: f(x) = x^2 - 12x + 35 g(x)= x -5 (f+g)(-4) = (f-g) (-5) =

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Q: F(x)=x^2-1 F(-1/7)

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Q: (r+4)² -2 for a -1 Find f(-4)

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Q: f(x)={x2-9/x-3 if x is not 3.  7 if x=3

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Q: x4 x3 7. Find the critical points of f(x) =-- 3x? + 10 - 3x² + 10 4 3

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Q: h(x) = x 2- 2x g(x) = 2x - 5 Find h(-2) - g(-2)

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Q: 3 x* + 2 1 Find f'(x) if f(x) -5/2 – 5x2 – 153 - 7

A: The given function is  f(x) = 32x4 + 17x52 - 5x2 - 153

Q: f(x) = 2 - 1x + 1 4 (x - 4)2, x + 16, x ≤ 0 0 <x

A:

Q: [2 1 and [A] =3 2 -3, find f([4]) . -1 | Q4. If f(x) =: 3x - 7x+1 6x +2x' +5 %3D %3D 3 1 -2

A: Given: A=21-132-331-2 We have to find fA. Where fx=3x5-7x+16x4+2x3+5.

Q: X-2 9) f(x) = %3D x2 - x - 30

A:

Q: 7x -1 Given f(x) = x+7 1 and g(x) = . What is g(f(x))? A gf(x)) = – x 7x B g(f(x)) = X+7 7x-1 ©…

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Q: 5. 4. f(x) f(x) -2 -1 -2 -17 2 -1 4.5 -1 -3 -4 -2 2 4 x -5.5 -1 2 --9 2 3 -3.5 3 -3 4 -17 4 -19 ロ-

A: (4) To find out the zeros , we look at the points where the graph crosses x axis The graph crosses…

Q: f(x)=3 x2 + 12 x - 9 and g(x)= and h(x)=9* f (h (-1/2 ) ) = |-5

A: Given f(x) = 3x2+12x-9 g(x) = x-1 h(x) = 9x

Q: f(x1 * Ax) -f(x1) Ax

A: The function is y=ft=2x2. The value of ∆xis 4. The value of x1is 5.

Q: f'(x)=3x^2-6x-3. =3(x-1)^2-6. For what values of x is f'(x)=0?

A: f'(x)=03(x-1)2-6=03(x-1)2=6 (x-1)2=63  (x-1)2=2 (x-1)=±2

Q: 4. f(x) = a = 0 x2-4x %3D x2+4x x?-3,xミ-1 5. f(x) = {x- 1, x>-1 こa=-1 %3D

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Q: f(x)% 3 -3x + 7 f(x) -5 19 -2 -23

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Q: f(x) 9(2) where f(-3) = 7, f' (-3) = –9, 9(-3) = –2, and g'(-3) = 1. What is h' (-3)? Let h(x) Do…

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Q: 9. f(x) = 2x-1 and g(x)= -3x Find f(-1) +8 %3D

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Q: f)-\2+1 x>-5 3x-2 xS-5 find f(-5) and f(3). x +1 x>-5

A: For f(-5)    at x=-5  first function is given so put x=-5  in first function. And for f(3)   it…

Q: a. ƒ (x) > 0 b. f (x) < 0 4 2 -y = f(x) -3 -1 3 -2

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Q: f (x) 9 (x) f' (x) g' (x) 5 -6 1 16 3 3 1 = 4 f² (x) ' |34

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Q: f(x) = -5-8 g(x) = -3x² - 6x - 2 Find: f(x) g(x)

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Q: 5- 5x? (x² +1)² -2x? –8 10х - 30х (x² +1)' 4x(x² +4) (x² – 4)' 5x a)* f(x) = ;f (x) =: -; f "(x) =…

A: Using the given informations you need to find out the domain, increasing &amp; decreasing interval,…

Q: g(x) = x - 4 and h(x) = x2 + 3

A: Let two functions g(x) and h(x) are given, then their composition (hog)(x) is given by, (hog)(x)=…

Q: > 3x-7 -? √√2x+5 23 What is the domain of f(x)=- x²-7 (24) What is the domain of f(x)=- x² +1

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Q: (3) f(x)= x/4-x²,[-1,2]

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: -1 -2 < x < -1, -1 < x < 0, 0 < x < 1, 1 <x < 2. f(x) = 1

A: Given that f(x)=-1,       -2&lt;x&lt;-10,        -1&lt;x&lt;01,       0&lt;x&lt;10,…

Q: - 1) = 3 If h(x) = xf(x)g(x) and f(- 1) = 2, f'(- 1) = - 3, then determine the value of h'(- 1).

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Sx² +2, x 1' 7. If g(x) = then g'(1) is

A: x2+2 must be chosen since x in g'(x) is 1.

Q: 6. f(x) = x² – 4x, g(x) = 2-3E %3D a) (f - g)(-5)

A: Given: f(x)=x2−4xg(x)=2−3x

Q: 2. -3 3. f(x)= ;x = -1

A: See the details solution in below

Q: х-3, x 2 if x= - 5 is Blank 1

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.