Given the following functions, find and simplify (;) (x). f(x) = -2x² + 4x g(x) = -2x + 4

Q: For the functions f(x)=7x−2 and g(x)=3x2−7x−2, find (f⋅g)(x) and (f⋅g)(3)

A: given, f(x)=7x-2andg(x)=3x2-7x-2 we have to find the value of (f.g)(x) and (f.g)(3)

Q: Write g ( x ) in terms of f ( x ). f ( x ) = 3x + 5    g ( x ) = 3x - 1

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

A:

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: Find the domain of the function. f(x) = 7x + 15

A: Given fx=7x+15 The domain of f(x) is all real numbers except where f(x) is undefined. In this case,…

Q: Find the domain of the function f(x) = √(25 − x2).

A: The given function is fx=25-x2

Q: For the function f(x)=5x^2, evaluate f(x+h)

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

A:

Q: Find the domain and range of the function. ∫(x) = 1/x2

A: A function f includes all x values in its domain where it has the finite value of f(x). In the given…

Q: Find f'(x) when f(x) = (x+ + 3x)*. 43

A:

Q: If f(x) = x2 + 3x – 5 and g(x) = 3x – 7, find the following function. fog

A: f(x) = x2 +3x -5  g(x) = 3x -7

Q: For the functions f(x)=3x−4 and g(x)=6x^2+5, find (g∘f)(x).

A: Composite of two functions f(x) and g(x) is defined as:  (gof)(x) = g(f(x))

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: For the functions f(x)=3x2−3 and g(x)=2x3+2, find (f∘g)(0) and (g∘f)(0).

A:

Q: Consider the function f(x) = 3x° + 2x – 1 and the equation f(x) = 0.

A: Given :-  Consider the function f  x = 3x5 + 2x -1 and the equation f  x  =0.

Q: If f(x) = 3x2 - x + 5, find [f(x + h) - f(x)]/h, h ≠ 0, and simplify.

A: given: f(x)=3x2-x+5

Q: Given the function f(x)=5x-x^2, express the value of f(x+h)-f(x) / h in simplest form

A:

Q: find

A:

Q: If f(x) = x2 + 3x + 2, find  f(x + h) - f(x)/h, h ≠ 0, and simplify.

A: Consider the given function fx=x2+3x+2

Q: Find the domain of the function.

A: Given function, f(x)=x+2x-10

Q: If f(x) = x2 + 3x - 2, find f(4) If h(x) = |5x - 17|, find h(0)

A: We have given  f(x) = x2+3x-2 Put x =4 f(4) = 42+3×4 -2 f(4) = 16 + 12 -2 f(4) = 26 So f(4)= 26

Q: Find f(-x) - f(x) for the given function f(x) = x2 - 3x + 7 .Then simplify the expression.

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Q: For the functions f(x)=6x−4 and g(x)=2x^2+5, find (g∘f)(x).

A: Given functions are: fx=6x-4gx=2x2+5

Q: Given the function defined by f(x) = 3x² - 4, find f'(2)

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

A:

Q: Find f ′(x) for the function f (x) = 7x −8

A: Differentiation is the process of finding derivative or rate of change of a function. Suppose we…

Q: Is f(x)=4x-3 a one-to-one function?

A: That's easy. Have a good day!!!

Q: Find the range of the function f(x) = x² - 2x - 4.

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Q: For the function f (x) = V8 (x – 1)*, find f-'(x).

A: Given query is to find the inverse of the function.

Q: Find the domain and range of the function. f(x) = 3x

A: Given: f(x) = 3x To find: Domain and range of the given function.

Q: Given: f(x)=10x-x^2; find f(5)=____?

A: The given function is f(x) = 10x – x2.To obtain the value of f(5), substitute 5 for x in the given…

Q: If f(x) = x2 + 3x + 2, find [f(x + h) - f(x)]/h, h ≠ 0, and simplify.

A: Consider the given function as fx=x2+3x+2

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

A: f(x)=2x2+x

Q: For the function f(x) = -4x find ƒ–1(x). 2x-3'

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Q: For the function f(x) = −4x^2 + 3x − 1, find the following and simplify: f(-2)

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Q: If f:x x+ 1 and gf : x H+2x + 7, find the function g.

A: Given in the question -                                        f(x)  =   x+1…

Q: For the functions f(x)=4x+5 and g(x)=4x^2−4x, find (g∘f)(x)

A:

Q: For the function f(x) = 7x", find ƒ-'(x).

A: Given,         The function is fx=7x7 .

Q: For the function f(x) = 5x³ – 3x°, |

A:

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

A: According to the problem, we have

Q: If f(x) = 5 + 4x – 2x?, find f'(4).

A:

Q: For the functions f(x)=4x−3 and g(x)=3x2+4x, find (f∘g)(x) and (g∘f)(x)

A: Given that, f(x) = 4x - 3 g(x) = 3x2 + 4x we have to find fog(x) and gof(x).

Q: For the functions f(x) = 3x – 1 and g(x) = 6x² + x, find (f • g)(x).

A: Given : fx = 3x-1gx = 6x2+x

Q: For the functions f(x)=2x−3 and g(x)=5x+5, find (f∘g)(x)

A:

Q: Find the domain and range of the function f(x) = x2 + 3

A: The given function is fx=x2+3. To find: the domain and range. Solution: The function is fx=x2+3, and…

Q: Given the function f(x)=x−−√3, find f′′(x).

A: Given, f(x)=x-3

Q: Given the function f(x) = -x2 5, express the value of e+h) f(x) in simplest form.

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.