For the given functions, find (fog)(x) and (gof)(x) and the domain of each. 1 f(x) = g(x) = - 1-5x' .... 4x (fog)(x) = X-5 (Simplify your answer. Use integers or fractions for any numbers in the expression.)

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

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Q: find all possible functions with the givenderivative. y' = 1 - 1/x2

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Q: For the function:     F(x) = x3/3 – 3/4x2 – 27/2x +39 (i) What is the range of values over which…

A: Introduction : The function F(x) will be concave downwards if F"(x)&lt;0

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…

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Q: given f(x)= 4x^2-4/x^2+5x+4 find the x-value of the removeable discontinunity of the function

A: Given fx=4x2-4x2+5x+4

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A: Given function,f(x)=x753 ,we have to find f-1(x)

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A:

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A: It is known that fgx=fxgx.

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Q: For what x-value(s) is this function not differentiable? x² – 9 f(x) x + 3

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Q: 2 2 V1-x 1-х

A: ∫un du = un+1n+1+C ∫cos(au) du =1asin(au)+C

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A: We use basic integration method to solve this Question

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A: Given

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A: It's easy to see that the function that you have quoted is…

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Q: 2 For the function f(x) = -x', find f'"(x), f'"(0), f'"(1), and f"(- 1).

A: To find the double derivative for the given function.

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A: Topic:- function

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Q: - Find the zero and its order for the function f(2)=1-Ti+Z+e.

A: Note: If W is the Lambert function then Wxex=x

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A:

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Q: Find f'(x) for f(x) = e* - 5x.

A: Given : fx =e4x2-5x

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Q: For the function f (x) = 3x? + 5x – 1, determine the required average and instantaneous rates of…

A: As per our guidelines we can provide solution to first 3 subparts only and rest can be reposted.

Q: X+1 5) Is the function given by f(x) x2 - 8x + 15 continuous at x = 3? Why or why not?

A: f(x)=x+1x2-8x+15

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Q: Given that f(x) = h(x) x5 f'(-1). Show your work. -, h(-1) = 4, and h' (-1) = 7 find

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Q: (1) For the function f(x)=x+1/x2+3,evaluate and simplify the following: (d) f (ab−1)

A: The given function is  f(x) = (x +1) /(x2 +3)

Q: For the function f(x)=3e^x^3 F’’(x)= 27x^4e^x^3-18xe^-x^3 Find f’’(1)=

A: We have to find derivative

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A: Given f(x) = cx2+8x   if x&lt;5x3-cx  if x≥5               we find the constant C is the function f…

Q: 8. For the function f(x)=3x+5-11, find the values of x such that f(x)=0.

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Q: Find the zero(s) of the function algebraically. f(x) = 2x + 18

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Q: Given a function f(x) =- - 10. Determine the root of f(x) which falls Vx² - 4x between -20 < x<-10.…

A: Note that f-12=0.4645&gt;0 and f-11=0.5236&lt;0 So solution of fx=0 will lie in the range of…

Q: 5. For f (x) 3x 5 and g (x) 6 4x, find (fog) (x)

A: As per guideline we have to solve the problem

Q: Shasta was working at differentiating a function p(x) and they found that p'(0) = In Unfortunately,…

A: We will determine the value of the constant a as following.

Q: 10. For f(x) = -x² +5, find f(a+h)– f(a) if h +0. h

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Q: Find a value of the constant k, if possible, that will make the function continous everywhere if…

A: The objective is to find the value of k that will make the function continuous everywhere.

Q: -3x Find f (x) given that f'(x)=x' +2-e* at (0,-1).

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.