Write the following as a composition of two or more non-identity functions. (g o n(x) = F(x) = (x² – 4)³ %3D (x) %3D g(x)

Q: Express the given function h(x) =1/(4x + 5) as a composition of two functions f and g so that h(x) =…

A: We need to express the above function h(x) as a composition of two functions f(x) and g(x) such…

Q: (a) Integrate the following functions with respect to x: (i) 3x2 + 5x -7 (ii) x +

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Q: . Find a formula for f(x) iff(x) = ln(x - 1). (Hint: x-₁=(x-1)^¹')

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Q: Differentiate the following functions: ex- e-x 2. y e*+e-x

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Q: Based on the following information, what is g(x)? (fog)(x) = x and X- 1 f(x) = 2 O 2x + 1 O x- 2 O…

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Q: If f(x) In 2 + e9x find f '(0). f '(0) = | 9/2

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Q: Find a general formula for f (n)(x). f (x) = xe−x

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Q: | find the Purpose of the function 十1→×>! O fn. 3メ- ,Xく! Xく1 2 f(め 2

A: Function, in mathematics, an expression, rule, or law that defines a relationship between one…

Q: (;) 9 and () ). For the functions f (x) = 4x4 – 19x³ – 10x2 + 35x – 50 and g(x) = x – 5, find E) (x)…

A: Consider the provided functions, fx=4x4-19x3-10x2+35x-50    and    gx=x-5 Find the value of fgx…

Q: Find a formula for f(") (x) if f(x) = e-10: fln)(z) =[]

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Q: Which of the following is a constant function O a. x= 0 O b. f(x) = 0.25x O . f(x) = O d. g(x) =0

A: We have to find the constant function  We know that ,  The equation of a constant function is of the…

Q: Oct 28, 2020 f'(x) if f(x) = e(3v&-2)x*(2 – 3x)°. f(x) fferentiation to find

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Q: Given the following functions, compute the composition (fog)(x). f(x) = 8x + 4 g(x) = 2x-6

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Q: Use the table below to find h'(-1) for h (x) = f (g (x)). I()9() lO() 1/2 0. -2 -3 1. -1 -1 -2 -2 -2…

A: Given that hx =fgxTo find : h'-1Solution hx =fgxh'x =f'gx×g'xx=-1h'-1 =f'g-1×g'-1h'-1 =f'-2×2h'-1…

Q: h) f(x) = e4sin(5z+2)

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Q: 4.8 The derivative of f(x) = 1/(1 – 3x) is given by %3D 6x (1 – 3x)? Do you expect to have…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Differentiate the following function. f(x) = x° e 9x f'(x) =D

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Q: Express h(x) as a composition of two functions: h(x) = 3√(x2 + 1)

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Q: ) Find the values of the constant a so that the function f (x) will be continuous for all x. fax +…

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Q: 2. Evaluate whether the following initial values is true in the function: y = 4cos-+ e-2x 2.a) 2.b)…

A: Given , y=4 cosx2+e-2x

Q: Differentiate the following function. f(x) = e - 2x2 - 4x d (e -2x2 - 4x) - 2² - *x) = [ dx

A: Given f(x)=e(-2x^2-4x)

Q: Based on the following information, what is g(x)? fog)(x) = x and X- 1 f(x)= 2 Ох-2 O x + 2 O 2x - 1…

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Q: Find a function f(2) such that f (x) = e + 7x and f(0) = - 1 f(x) =

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Q: If f(x) is an even function and f(x)dx = 5, find the value of , f(x)dx. %3D O 10 O 5 O cannot be…

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Q: 21. Suppose f(x) = A and g(x) = v2*. Find the x-value for which the two functions are equal.

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Q: (2) Find the domain of the following functions: (a) g(x) = 5 – 10 - 2x - (b) f(x) 4.x +5 2x (c)…

A: Find the domain

Q: Differentiate the following function. f(x) = - 4 e 3x *(-4 e 3x) = D dx

A: Differentiate the following function

Q: Find a general formula for f (n)(x). f (x) = x−1/2

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Q: Write down a formula for ∂z/∂y if z is defined implicitly as a function of x and y by the equation…

A: The given equation is yz=e3x+z.

Q: Find f’(e) of the following function. f(x)= x3 *(ln x- 1/3)

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Q: Find a general formula for f^n. f(x)=7x^2 e^x

A: Consider the given function fx=7x2ex. In order to find the nth derivative f'n, differentiate the…

Q: . If x is large, which function grows faster, f1x2  2xorg1x2  x2?

A: To determine for the large values of x, which of the functions f(x)=2x and  g(x)=x2 grows faster.

Q: Find the domain of the function. g(x) = ln(x - 1)

A: A function is a relation between an input variable and an output variable wherein each input…

Q: Make the composition (f o g) (x) with the function f (x) = x ^ 2 + 2 -2 and g (x) = √x

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Q: 21. Suppose f(x) = G and g(x) = v2**. Find the x-value for which the two functions are equal.

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Q: Find a formula for f(n)(x) if f(x) = e' -3x fln)(x):

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Q: The function x f(x)=(x+1)e^x/[(x+5)(x-2)(x^2+3.78)] is continuous everywhere except x=? Thank you

A: Given

Q: Express the given function h(x) = (3x - 1)4 as a composition of two functions f and g so that h(x) =…

A: Given function,  h(x) = (3x - 1)4 To express the function h(x) as a composition of two functions f…

Q: Find f''(x) for: f(x)=ln⁡x/4x

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Q: - Show that f(x)= E ƒ(x), where E is a constant and f(x)= e²x + e2x

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Q: (x) = ln(1 + e8x), find f '(0).

A: Given,          fx=ln1+e8x

Q: Differentiate the following functions. (a) a(x) = e2 +x° + e*

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Q: 1. Given f(x) S(x) = x² + 4x - 2 and g (x) = 3x – 4 , find the composition of functions for the…

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Q: Find the value for k so that the function will be continuous at x = 2. 4x2 – 12x + 8 6 if x 2

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Q: Suppose ƒ is an odd function,Evaluate function

A: Given: f(x) is an odd function ∫04fxdx=3,∫08fxdx=9 To find: ∫-48fxdx

Q: Is the function of k(x)= 9^x/7*7^x exponential? If so, write the function in form k(x)=ab^x

A: Consider  the function

Q: Find a simple function g(x) such that f(x) is O(g(x)), where f (x) = (-5x20 + 3)(-3x² – 4x²) + 7(4x²…

A: Given, f(x)=-5x20+3-3x7-4x2+74x2-2.3xx6+4 In In x Therefore,   g(x) is also a function…

Q: Find a formula for the inverse of the function.\\ f(x) 1+e" 1-ez ' f' (æ) =

A: Let f(x)=y f(y)=x

Q: if f(x) = e 2x   find a formula for f n   x

A: Given: The function f(x) = e2x   To determine: The formula for f n(x)