Consider the following. f(x) = 3x, g(x) = x² + 2 Find the function fog and its domain. (Enter your answer for domain in interval notation.) fog(x) domain Find the function gof and its domain. (Enter your answer for domain in interval notation.) gof(x) domain

Q: f(x) = x - 6x + 9x – 6 For this function, on [-1,5] interval, the absolute maximum is 10 and the…

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Q: Find the domain of the function. (Enter your answer using interval notation.) g(x): 4x2 + 3x - 1

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Q: Find the intervals where the function f(x)= x3- 3x 2+3 is increasing and intervals where the…

A: The given function is f(x)=x3-3x2+3. It is required to find the interval in which the function is…

Q: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function g-1(7) without finding an…

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Q: what value of x will be found in the domain of function f(x) = 10/x-2

A: To find Domain , f(x) should be defined.

Q: What happened to the grap f(x) = -Ix • || • 2 f(x)

A: Please refer to the image below

Q: find th domain of the function    h(x)= x-4/x3-25x

A: We are given : h(x) = (x - 4)/(x3 - 25x) We are required to find the domain of the function.

Q: Find the open intervals on which the function is increasing or decreasing.     g(x) = x2 − 2x − 8

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Q: If f(x) = x3 - 2x - 5, find f(2) and f(3). Then explain why the continuous graph of f must cross the…

A: Given  The function is f(x) = x3 - 2x - 5 .

Q: 4. If f(x) = ax³ + bx², determine a and b so that the graph of f will have a point of inflection at…

A: If fx=ax3+bx2, then to determine a and b so that the graph of f will have a point of inflection at…

Q: If f(x)=x-15 and g(x)=x+2, then (g/f)(x)=x+2/x-15. What is the domain of (g/f)(x) in interval…

A: The answer  given below:

Q: Find the X value of the pints of inflection on F(x) = X3-6X2+12X and discuss the concavity of the…

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Q: Consider the function f(x) = 2x² – 2 for x > 0. %3D What is the domain of f-(x)? Write your answer…

A: The given function is the one-one function in the given domain.   Replace f(x) by y and then…

Q: 2. You graph the function f (x)= lx + 21, and your classmate graphs the function g (x)= lx – 21.

A: Given query is to find the similar attributes between f(x) and g(x).

Q: What is the end behavior of the function f(x)=2e^x

A: F (x)=2e x Now f(x) = c when x ->c

Q: 11) Find the point of inflection of the graph of the function. f(x) = xVx – 27 %3D

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Q: Let h(x)=f(x)+g(x). If f(x)=6x and g(x)=3x2, what is h′(−1)?Do not include "h′(−1)=" in your answer.…

A: we have to find derivarive of h(x) at x=-1

Q: 3. a) Determine algebraically whether the function f(x) = –3x° + 4x² is even, odd, or neither. b)…

A: Please find attachment for the details solution

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

A: Calculation of h (x):Using the functions f (x) and g (x), the function h (x) can be obtained as…

Q: Find (f-g)(x) for f(x) = 4x- 9 and g(x) = 3?

A: Given, fx = 4x-9   gx = 3x2   We have to find f-gx

Q: Find the domain of the function. 4 + X g(x) = 1 - X

A: The given function is The domain of the function is set of input values for which the function is…

Q: What values of x would be found in the in the domain of function f(x)=10/x-2

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Q: How would you limit the domain to make this function one to one? f(x) = x² – 5 Your answer will be…

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Q: 2. What is the degree of the function g(x)=-2x(2x-1)(x² + 1)²?

A: The given function is; g(x)=-2x(2x-1)(x2+1)2.

Q: Find the open intervals on which the function is increasing or decreasing.

A: A function f(x) is:  (i) increasing on an interval (a, b) if f'(x)>0 for all elements of a, b.…

Q: 21. Find the "natural" domain of the function f(x)= 4x-10x+4

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Q: 4 Find the domain of f(x) x + 3

A: Given:  fx=4x+3 To Find: Domain of the given function fx

Q: 22. Find the "natural" domain of the function f(x)=16r +Vx. x'-16x

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Q: 20.) Find function the Ceroes algebraically. of the f(x) = x² - 6x +8 4x X = ?

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Q: What is the upper bound of the function? f(x) = 4x4 - 25x² - 5x - 13 Enter your answer in the box.…

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Q: 2. Find the Domain of the function: h (x) = 4x x (x² – 9)

A: Given function h(x)=4xx(x2-9)

Q: 5. Find the value of the function: If f(x) = 3x + 2x 3, find(-3). f(-3) =

A: We have to find the value of the given function at x = -3.

Q: 2. How does the function f(x) = -4x + 3x3 behave as x -00 and x 00?

A: The objective is to describe the behaviour of the given function in the ends .

Q: Find the domain and range of the function. (Usel interval notation.) f(x) = 9x

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Q: For what values of x is the function f(x) = |x2 − 9| differentiable? (Enter your answer using…

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Q: Find the domain of the function. f (x) = /-x+8

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Q: Let h(x) = f(x) +g(x). If f(x) = 2x2 and g(x) = 8x, what is h' (x)? Do not include "h' (x) =" in…

A: Given   h(x) = f(x) +g(x)f(x) = 2x2g(x) = 8x5So,h(x) = 2x2+8x5Now, h'(x) = d h(x)dxh'(x) = d…

Q: Consider the function f(x)=2x* – 4x² +4. Isƒincreasing or decreasing at the point x - 0.5?

A: Since you have asked multiple questions in a single request, we would be answering only first…

Q: Find the local extreme values and points of inflection of the function: f(x) = -2x'+6x-3.

A: Given,     f(x)=-2x3+6x2-3

Q: 3. Given f (x) = 5x² and g(x) = Vx – 3 , what is the domain of (f • g)(x)? Write your answer in…

A: f(x)=5x2, g(x)=x-3

Q: 1) Consider f(x) = -5xª + 2x³ + x %3D a. Explain what the leading term test tells you about the end…

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Q: Find the domain of the function. f(x)= 2+ x2 The domain is

A: to find the undefined points take denominator =0 ..............undefined point

Q: Find the domain of the function. F(x) = x-2/ x3 + x

A: To findDomain of functionf(x)=x-2x3+x

Q: Find the absolute extreme values of the function on the interval.                        g(x) = -x2…

A: given: gx=-x2+11x-305≤x≤6

Q: V. Find the value of k that makes the function continuous. 2x2-3-15 if x + 3 if x = 3 f(x) = %3D x-3…

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Q: Find the domain of the function using interval notation. f (x) =-2a (x - 2) (x – 5)

A: Simplification of the function helps to find the required domain. Definition of the domain of the…

Q: Find the derivate of the function f(x)= -4x2 - 4cos(x)

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Q: What is the degree of the function g(x)=-2x (2x-1)(x+1)*

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Q: Identify the open intervals on which the function is increasing or decreasing. g(x) = x² - 8x - 20

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