Given the functions: f (x) = -4x g (x) = |x+2| Evaluate the function (f-g) (x) for x = -7.

Q: Given f(x) = x2 + 3x - 2, find f(x - 2).

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Q: For function g(x)=3/2x-2, find g(4a)-g(a)

A: The function is given as

Q: . Given f(x) = 2x-3 and g(x) = x +5, find f(g(2)).

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Q: Find f-1(x) for f(x)=5+12x Enter the exact answer

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Q: R(x) = (x-2)2

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Q: The range of the function f(x) = 3/25 – x² + 2 is

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Q: In the given question , find the two x-intercepts of the function f and show that f'(x)=0 at some…

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Q: For the function f(x) = V - 6, find f-(x).

A: Given : f ( x ) = x ( 1/4)  - 6  find : f - 1  ( x ) = ?

Q: If f (x) = 3x + 2 and g (x) = x² – x, find the value. f(-2) =

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Q: It f(x) = x² - 4x - 3, find f (x + 3). 10. If g(x) = 2x³ + 4x − 5, find g(x − m)

A: 9) The given function is: f(x)=x2-4x-3

Q: f(x)= (x2 -4x)/(x-4) g(x)=x is it true f=g?

A: Given,

Q: What is g (f (2)) ? f (x) = 3x2 + 1 g (x) = -x + 2

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Q: For the function f(x) = x3/3-x2- 24x + 19 (i) Determine the turning points and the values of the…

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Q: For the function f(x)=8x2−18x+5, find x when f(x)=−4.

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Q: What is f (g (3)) ? f (x) = 3x² + 1 g (x) = -x +2

A: f(g(3)) also written as fog(3) is know as composition of function. Here, x-values are input in g(x)…

Q: Given the function f(x) = x – 15x², find all x-values where f has an inflection point.

A: The given function is fx=16x4-15x2.

Q: For f(x)=x+6sqrtx, find (f^-1) (55)

A: Given data: The given function is f(x)=x+6(x)1/2. The given expression can be written as,…

Q: In the given question , use the functions f (x) = x + 4 and g(x)= 2x - 5 to find the given function?…

A: Consider the function, fx=x+4,         gx=2x-5To  calculate   the   inverse   of   function…

Q: given the function h(x)=2/3-x, find f(1/2)

A: Note f=h. Given: h(x) = 2/3-x. So,       h(1/2)=2/3-(1/2)                =1/6

Q: What is the degree, leading term, leading coefficient, and constant term of the functions below? How…

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Q: The function f (x) = x3-x . is: х2-1 %D

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Q: Given that f(x) = x2 + 3x and g(x) = 5x + 3, solve f(x) = g(x). Graph each function and label the…

A: The given functions are: f(x) = x2 + 3x and g(x) = 5x + 3 On solving f(x) = g(x), f(x) = x2 + 3x =…

Q: Given the function f(x)=-3x+4, find f(-2)

A: A function defines a relation in which for each input, there is exactly one output.

Q: For the function f(x) = 3x-2x-3x +2, find "(X). Then find f"(0) and "(4).

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Q: What is (f + g)(x)? f(x) = -2x g(x) = x² - 7x + 6

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Q: Given the function f(x) = –3x – 3, express the value of +n-12) in simplest -f(x) form.

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Q: Given f (x) = 3x2 g(x) = 7 - x Find the value of f(g(5))

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Q: Find the value of c so that the domain of f(x) = √c - x² will be [-5,5].

A: The function f(x)=c-x2 has the domain -5,5

Q: for the function f(x)=x2-2x-8, find the two points x when f(x) = 7 the answer should be in this…

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Q: Given the functions g(x) = 5x - 2 find g-1(x)                                               4x + 3

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Q: Given f(x) = 5x + 6 and g(x) = 2x2 - x - 1, find (g ∘ f)(x)?

A: we have f(x) = 5x + 6 and  g(x) = 2x2 - x - 1  to solve  (g ∘ f)(x) we use   (g ∘ f)(x) = g(f(x))

Q: . Given f(x)=-x²+4x+12, 05x58: (a) Carefully, graph f(x), 0sxs8.

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Q: Given f(x) = 5x - 3, find f(-3).

A: Consider the provided function, fx=5x-3 Find the value of f-3.

Q: If f(x)=3x2-2 and g(x)=4x+2, what is the value of (f+g)(-1)?

A: Given function

Q: For the function f(x)=2x2+x, find f(-5).

A: f(x)=2x2+x

Q: Given the function f(x)= x² + 2x+1, find f(-2).

A: Put x= -2 in f(x)

Q: If f(x) = 3x – 4 and 9(x) = x°, what is the value of f(g(2))?

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Q: For the function: f(x) - 3z² +3, f(2) – f(a)

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Q: If f(x) Зх — 3x 5 and g(x) 2*, what does (f · g)(0) equal? -

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Q: Given the function f(x) = -x2+2x+6, find f(1) and f(4). Compare the values.

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Q: Given f(x) = 2- 3x and g(x) = |2x- 8|, find f (-2) - g(-2).

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Q: Given that f(x) = -x+6 and g(x): = = x", 2 3 what is the value of f (g(-3))?

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Q: Given that f(x) = 6x +5 and g(x)= x°, find (fo g)(- 2).

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Q: Given f(x) = 5x² – x + 2, find the following. -

A: According to the problem, we have

Q: For the function f (x) = , what is the value of f (4)? X-3

A: Given:  A function is given byfx=1x-3 To Find:  The value of f4=?

Q: For the function f(x) = (x+1)2x-3 What is the range of f?

A: given function f(x)=(x+1)2x-3 which can be written as f(x)=(x+1)2x3

Q: Given f(x) = x³ – 2, what is f(2)? |

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Q: or what value of X does the function g(x) = 1/3 X3 - 2x2 attain the point of inflexion?

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Q: Given f (x) = 6 (1 – x),what is the value of f (-5)? %3D

A: fx=61-x to find the value of f(-5) take x=-5

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!