Consider the following functions. X f(x) g(x) = 8x - 3 -- X 3 Find (f o g)(x) Find the domain of (f o g)(x). (Enter your answer using interval notation.) Find (g o f(x) Find the domain of (g o f)(x). (Enter your answer using interval notation.) Find (f o f)(x). Find the domain of (fo f)(x). (Enter your answer using interval notation.) Find (g o g)(x) Find the domain of (g o g)(x). (Enter your answer using interval notation.)

Q: 16. For the function g(x) = x² + x – 1, find and simplify: 9*+h)-g(x) h

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Q: Given f (x) =x-4 and g (x)=|x+2|, what is the domain of the quotient function f/g?

A: Domain will be  Whole real numbers except 2 Explanation is given below......

Q: 3. If f(x) = x + 1, find f(3) and f(- 3). Is f a one-to-one function?

A: The given function is fx=x2+1

Q: Find the local and absolute extremum for the functions over their domain: 3. f(x) = x*(x - 2)7

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Q: Find the values of x for which the function is continuous. - 7 f (x) = 2 + 84

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Q: Find the domain of the function. (If you need to use -o or co, enter -INFINITY or INFINITY.) f (x) =…

A: Given: fx=3-12x     if x≤29x-4       if x>2 To Find: The domain of the function

Q: Find the value for k so that the function will be continuous at x = 3. - 10x? – 10x + 120 - 1 if x <…

A: The given function,  f(x)=-10x2-10x+120x-3-1if x&lt;3-7x2-70x-175+kif x≥3

Q: Find the absolute maximum and minimum values of the function over the indicated​ interval, and…

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Q: Use the graph of the given function f(x) to find x such that f(x) = - 3. 2- ->

A: f(x) implies y in a cartesian plane so the value of y is the value of f(x)

Q: snip

A: Given: fx=1x and fgx=x+1x2-x

Q: Find the domain and sketch the graph of the function.

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Q: Find the domain and the range of the real function f defined by f (x) = x –1 .

A: We first make a table for the function  x 0 1 2 3 f(x) -1 0 1 2 Then we sketch the function…

Q: Q1: - Find C that make the function f(x) continuous f(x) = {| x +3 Сх+ 6 x 2

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Q: State if the following functions is Even, Odd, or neither. Show some form of work or explanation for…

A: Given,  fx = x2                0 &lt; x &lt; 2 We have to find whether this function is odd, even or…

Q: (d) Find the absolute extreme values of f on the closed interval -2 < x < 3.

A: d) We have to find the critical numbers by solving f'(x)=0

Q: Find the value of k that will make the function f(x) continuous. -x2+8, if x+ 3 f (x) =, k, if x=3

A: topic - limits and continuity

Q: For the function f defined by f(x) = x2 - 4x + 1,

A: Given function: fx=x2-4x+1

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

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Q: find (f◦g)(x) and (g◦f)(x) for the pair of functions and give their domains.  f(x)=1/x^4, g(x)=4-x

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Q: If a box with a square cross section is to be sent by a delivery service, there are restrictions on…

A: Volume can only be positive.We know that is x^2 is always positive , so for V to be  positive,…

Q: Consider the functions f(x) = y3x - 4 and g(x) Vx2 - 16. Find the domain of f(x) and g(x) in…

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Q: For the function below, find a) the critical numbers, b) the open intervals where the function is…

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Q: Find the most general function F such that F'(x) – 14. x5 || - F(x) = Σ

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Assuming f of g = 1/x + 1 and if g(x) is x +1. Find f(x)

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Q: Find the domain of the function in interval notation: f(x) = 1 I+3

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: 4.) For the functions f (x) = V16 – x and g(x) = 2x – 8 find (f • g)(x) and give its domain in…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: Given:-f(x)=3+3x-3x2 ; 0, 3f'(x)=3-6xfor critical pointsf'(x)=03-6x=06x=3x=36=12second derivative…

Q: Determine the intervals upon which the given function is increasing or decreasing. f(x) = 3r + 12x?

A: The given function fx=3x3+12x2 differentiate with respect to x f'x=9x2+24x       =3x3x+8

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Consider the compound function:             (x - 2)3 for x less than or equal to 2 h(x) =  |x| for…

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Given that, The function changes concavity at the inflection point. To find inflection point, solve…

Q: Question in Image.

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Q: Find all values of x such that f (x) &gt; 0 and all x such that f (x) &lt; 0, and sketch the graph…

A: f(x)=x4-4x2=x2x2-4f(x)&gt;0⇔x2x2-4&gt;0⇔x2&gt;0 and x2-4&gt;0 or  x2&lt;0 and x2-4&lt;0⇔x∈ℝ \ 0 and…

Q: 1 For what value of x does the function f(x) = -x 4x attain the absolute maximum in the interval…

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Q: Explain why the function h is discontinuous at a = -2. 1 x = -2 h(x) = x + 2 1 x = -2

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: The function h(x) 1 can be expressed in the form f(g(x)) where g(x) = (x + 7) and f(x) is x + 7…

A: Given ,  The function h(x) = 1/(x+7) can be express es in the form f(g(x)) where g(x) = (x + 7)  We…

Q: Find f(x) for the function. X x + 1 f(x) = f-1(x) =

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Q: At x = 3, the function given by f(x)={x2 , x<3 and 6x−9, x≧3 is? a) undefined b) continuous but…

A: Given function: fx=x2x&lt;36x-9x≥3 Clearly the function is defined on all real numbers. We have to…

Q: Find the domain of the function 1 f (x) = - 1

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Q: Where is the function undefined and where is it equal to 0. f(x)=3e^2x-3

A: We can solve above question both through algebra and also through drawing it's graph. Both of them…

Q: 2 a) For the function f(x) = find f' X- 3'

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Q: For the function f(x)=3x", evaluale : f(Xth)=

A: F(x) = 3x2 , put x = x+h                                                            F(x+h) =3(x+h)2…

Q: Consider the following functions. flx) = x², g(x) = x + 1 Find (fo g)(x)- Find the domain of (f o…

A: as per our guidelines we should answer only first three sub-parts of a question.   i answered them…

Q: In the power function f(x) = -4x°, what is the end behavior of f(x) as x goes to -o? (You can enter…

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Q: 2. Let f be the function defined by 9) f (x) = x²+2x+1 ,Find: -f (3) +fヒ3)

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Q: find and simplify f (a +h) -f (a) / h     (h is equal/not equal to 0) for function  F(x) =…

A: Consider the provided question,

Q: Let h(x)=f(x)g(x). If f(x)=−3x 2−4x+2 and g(x)=−x2 +3x+2, what is h′(−1)? Do not include "h′(−1)="…

A: Consider the function

Q: Given the function f"(x) = -2x(x – 4)(x – 6), what conclusion can be drawn directly from the sign…

A: The given double derivative function is f"x=-2x3x-4x-6.