Find f g and g f. f(x) = Vx + 4, g(x) = x2 %3D (a) fog (b) gof Find the domain of each function and each composite function. (Enter your answers using interval notation.) domain of f domain of g domain of fg domain of g of

Q: Consider the function f(x) = x4 + 2x3. (a) Find the x- and y-intercepts of the graph of f (if any).…

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Q: f Find the domain of where f(x) = x+ 11 and g(x) = x2. The domain is | (Type your answer in interval…

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: We first find f'(x) using the power rule To find the critical values we solve f'(x)=0

Q: Let f(x) = 3x³ – 4x² – 6x + 1. a. The degree of the function is so the graph of the function has at…

A: The given function is f(x)=3x3-4x2-6x+1 ...................(1)

Q: (2x² – 4 (c) Determine the values of x for which the function f(x) = }x+ 2 x< 2 2< x< 5 7 x2 5 is…

A: A function fx is continuous at x=a if the function satisfies all the following three conditions :…

Q: 1. Find the specified domain. a. Find the domain of (fg)(x) when f(x)= 8x-5 and g(x)=- x-9

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Q: 4x and f(x)= x+6 x+3 6. Find the domain of the composite function (gºf)(x) if g(x)= Write 2x -10…

A: We have to find domain

Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) =    x 3x2 + 2x…

A: We have to find the domain and range of the function…

Q: x4 - 4x3 + 4x2 + 1 2. Determine the open intervals where the graph of f(x) is concave upward or…

A: We can solve this as follows:

Q: f(x) g(x) = x² – 6x Find (fo g)(x). Find the domain of (fo g)(x). (Enter your answer using interval…

A: Given that  fx=1x and gx=x2-6x   (a) Find f∘gx We have to find fgx fgx=fx2-6x=1x2-6x   Hence,…

Q: Find the domain of the function. x+7 g(x) = x2 - 36 The domain is (Type your answer in interval…

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Q: Find fog and gof. f(x) = /x + 6, g(x) = x² (a) fog (b) gof Find the domain of each function and each…

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Q: Il values of x for which the graph of f lies above the graph of g. (Enter your answer using interval…

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Q: f(x) = 4x + 36 g(x) = x² + 7æ – 18 Find (x) -) (2) = [ Preview G)(2) is a # | The domain of Preview

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Q: 3x² + 1x – 2 Let f(x) = 3x2 - 2x – 8 This function has: 1) A vintorco

A: Given; f(x)=3x2+1x-23x2-2x-8

Q: (2x² – 4 (c) Determine the values of x for which the function f(x) = }x+ 2 x< 2 2<x<5 x 2 5 is…

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Q: Find f+ g, f – g, fg, and f/g and their domains. f(x) = 4 – x, g(x) = x² – 3x Find (f + g)(x). Find…

A: (f+g)(x) is given by, (f+g)(x)=fx+gx=4-x+x2-3x=x2-4x+4=x-22 (f+g)(x)=x-22

Q: 4x2-9x+2 Find a functionf such that f'(x) = and f(1) = 0. %3D

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Q: Find all values of x for which the graph of f lies above the graph of g. (Enter your answer using…

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Q: Find all x intercepts and y intercepts of the graph of the function. F(x) = x^3 – 4x^2 – 25x + 100…

A: Given: F(x) = x3 – 4x2 – 25x + 100

Q: f(x)=2x2 + 3x - 4 and g(x) = 2x -5 find the following (f multipled by g) ( 1 over 2)

A: Given that, To find,

Q: 5x2 f(x) = V4x2 + 5 Find f' (x), and then evaluate f' at x = 1 and x -1. f'(1) = | f'(-1) =

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Q: Given f(x) = x3 + 1  a. Find an equation for f -1(x). b. Graph f and f -1 in the same rectangular…

A: Given function is fx=x3+1. (a)To find an equation for f-1x. Given function can be written as y=x3+1…

Q: The function g(x) is defined as g(x) = -2x² + 3x – 12. Find the value of g(-3). %3D

A: Given thatg(x)=-2x2+3x-12put,   x=-3

Q: the function g is defiend by g(x)=X2-7. Find g(3y)

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Q: 2. For the function f(x) = 2x4 + 15x3+ 41x2 + 48x + 2     ≥…

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Q: Find all values of x for which the graph of f lies above the graph of g. (Enter your answer using…

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Q: x+1 For what values of x, the function f(x) is not continuous? x2-x-12

A: For what values of x, the function fx=x+1x2-x-12 is not continuous?

Q: x² +6x, x< a Find all values of a such that the function, g(x)= is continuous 2x-4 , x2 a…

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Q: Find all values of x for which the graph of f lies above the graph of g. (Enter your answer using…

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Q: Find all values of x for which the graph of f lies above the graph of g. (Enter your answer using…

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

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Q: Find all values of x for which the graph of f lies above the graph of g. (Enter your answer using…

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Q: Find all values of x for which the graph of f lies above the graph of g. (Enter your answer using…

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Q: 3x +5 Locate the absolute extrema of the function g(x)= on the closed interval [0, 5].

A: Consider the function g(x)=3x+54 ,0,5

Q: Find the domain of the function. f(x) = 3x+7 The domain is (Type your answer in interval notation.)

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Q: Find fog and go f. f(x) = ³√√√x-2, g(x) = x³ + 1 (a) fog (b) gof Find the domain of each function…

A: This question from topic real valued function

Q: Find the domain of (fg)(x). (Enter your answer using interval notation.) Find Find the domain of…

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Q: f(x) = 2x2 + 3x - 1 and g(x) = 2x -2 find the following (f*g)(-2)

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Q: f(x) = 2x2 - x + 12 g(x) = -3x - 4 Find: (go f)(x)

A: f(x)=2x2-x+12g(x)=-3x-4g ο fx=gfxput x=f(x) in g(x)

Q: Find f + g, f - g, fg, and f/g. Determine the domain for the function.

A: Find f + g, f - g, fg, and f/g. Determine the domain for the function.   “Since you have posted…

Q: Find f + g, f - g, fg, and f/g. Determine the domain for the function f(x) = x - 5, g(x) = 3x2

A: Given functions are fx=x-5 and gx=3x2.

Q: f(x) = x2 + 5x, g(x) = 7x² – 1 Find (f + g)(x). Find the domain of (f + g)(x). (Enter your answer…

A: We have to find