Find f+g, f- g, fg, and f/g and their domains. f(x) = V81 – x2, g(x) = vx² – 4 Vx² - 4 %3D %3D

Q: f(x) = 3x + 4; g(x) = f(-x) %3D %3D

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Q: | f (x) = x* – 2 A f (x) = -2x5 + 3 %3D f (x) = xª – 4x³ + 2x2 +x +4 %3D | f(x) = 3x3 + 5x- 2 %3D

A: The given graph is

Q: f(x) = x2 + 4 g(x) V2 - x

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Q: Graph each function.

A: We have graph this function : G(x)=x3+1x2+2x we have to draw the graph of the function.

Q: f(x) = v4x² – 20 %3D x+2 0 g(x) = %3D x2+4x-5 h(x) = |2x³ –1| .3 %3D

A: (a) Given function is: fx=4x2-20 The above function is discontinuous for:…

Q: f(x) = V3x + 1; a = 8 %3D

A: 49) Using the definition of the derivative f'x=limh→0fx+h-fxh       =limh→03x+h+1-3x+1h…

Q: f(x) = 2x³ -2x² + 5x-7 %3D g(x) = 5x3 + 2x² + x+2 find f(x) - g(x) %3D

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Q: 3x2+5x+8 Find f dy. (x-2)(x²-2x+5)

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Q: (4x +7)(5– 2x) f(x)= %3D (x-1)²

A: Given data:     The expression for the function is: f(x)=(4x+7)(5-2x)/(x-1)2.   The expression for…

Q: f(x) = 3x - 10 g(x) = x + 4x +5 %3D Find: g(f(x))

A: Given:fx=3x-10gx=x2+4x+5gfx=?

Q: 1. f(x) = 4x + 7 3. f(x) = 2x -r + 5x %3D

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Q: f(x) = 8x-1 %3D f '(x) = %3D

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Q: 5x g(x) x2 C = 0 + 3x - 4 g(x) n = 0 8.

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Q: Find the domain of v. v (x) = x + ln(7x - 4)

A: Find the domain of v. v (x) = x + ln(7x - 4)

Q: (a) f(x) =; 2x+1 x²+x-2 (b) g(x) x²+1 (c) h(x) = v4 – x + vx² – 1 %3D

A: The given functions are a.) fx=2x+1x2+x-2 b.) gx=x3x2+1c.) hx=4-x+x2-1 Domain of a function is the…

Q: 4) f(x): g(x) = - 3x

A: Given, f(x)=1x and transform the graph into g(x)=-13x

Q: Maximize f(x, y) = 18 - x2 - y2, x + y - 2 = 0.

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Q: Find the domain of f

A: We have to find the domain of the function: fx=x+2+2-x We know for any square root function y=fx it…

Q: f(x) = 5x + 2 g(x) = x + 7 %3D Choose g(f(x))

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Q: Example: Find the PDE, which has a general solution ø(→,2) = x x =0, where is an arbitrary function…

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Q: x² + 3x + 2 26. f(x) : ;a = -1 %3D x + 1

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Q: 13) f(x) = 4x – 3 g(x) = 4x – 4 Find (f - g)(-1) %3D %3D

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Q: Find the linearization at x = a. g(x) = 20x² x - 3 a = 12

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Q: f(x) = 2x° + 5x-3x +4 g(x) = x°- 2x²-1 %3D %3D f(x) + g(x) = %3D

A: Given polynomial is fx=2x3+5x2-3x+4  and  gx=x5-2x2-1 The task is to add the above polynomials.

Q: f (z) 10x +3 (2)) g (x) = -7x- 4 %3D What does (f-g) (r) e

A: To solve this question, We will use - (f-g)(x) = f(x)-g(x).

Q: f(x) = g(x) + h(x), where g(x) = 2x 4 + 12x2 + 4 and h(x) = -5x 3 - 3x

A: Given gx=2x4+12x2+4hx=-5x3-3x fx=gx+hx

Q: How do I find the domain in interval notation to A?

A: a). Given,

Q: Find the antiderivative of f(x) f(x)=2sec2 (x)-3x-6

A: Given: f(x)=2sec2x-3x-6let the antiderivative of f(x) = F(x)then,F(x)=∫f(x)dx

Q: f(x) = Vx + 13, g(x) =x - 13 %3D

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Q: 3) f(x) = x g(x) = 3(x + 2) %3D

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Q: 2x, g(x) = -8x + 2 %3D Find (f+ g)(x), 7.

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Q: 2. f(x) = - 2x + 6 g(x) = - x/2 + 3

A: Given: fx=-2x+6 gx=-x2+3 fgx=-2-x2+3+6           =x-6+6           =x gfx=--2x+62+3…

Q: f (x) = x³ + 2x² + x – 1, (0, 1)

A: As per the policy of bartleby the provisions is to solve only one question at a time

Q: a) Determine the domain of the function f(x) = /x2+ x-6 b) The following is the result of Gaussian…

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Q: t f(x) = 2x - 3 and g(x) = x + 5. %3D a. 2. g(x) = 2( x + 5) = 2x + %3D b. 5 g(x) = 5(_) = 5x +, %3D…

A: Given f(x) = 2x-3 and g(x) = x+5                a)     2.g(x)=2(x+5)                    = 2x+10 b)…

Q: 3) all x² -2x-3 a) g(x) %3D x-4x +3 x-3 b) f(x) = %3D x -9 8x-16 c) h(x) = %3D x* -8x +16x

A: a) g(x)= x2-2x-3x2-4x+3              = x+1x-3x-1x-3    g(x) =x+1x-1…

Q: f (x) = 4x- 3 h (x) = x + 2x %3D Find (f- h) (4)

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: f(x) = Vx2 - 4, g(x) = x2 %3D x2 + 1 (a) (f+ g)(x) = (b) (f- g)(x) =

A: f(x)=x2-4  , g(x)=x2x2+1 First we find (f+g)(x) (f+g)(x)=f(x)+g(x)Replace f(x)  and g(x)f(x)=x2-4  ,…

Q: g(x) = 4x + 4 f(x)=x²-1 a. (gof)(x) b. (fog)() C. (gof)(-3)

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Q: -. g(x) = Vx + 7 i. Domain: (-7,00) Preview x + 30 . h(x) : 4 - i. Domain: (-30,4)U(4,00) Preview

A: Given query is to find the domain for the function.

Q: (fog)(x). f(x)=x2+4 and g(x)=x2-7

A: Given data:   The first function is f(x)=x2+4. The second function is g(x)=x2-7.   The expression…

Q: 3. f(x)=5x-3 g(x)=(x-1)2 %3D

A: Here, the given functions are: f(x)=5x-3, g(x)=(x-1)2 To find g(f(3)).

Q: & g(x)=3x+4 find

A: Answer :-    given ,          f(x) = 2x - 5   and g(x) = 3x +4then we have to find (fog)(x).ie,…

Q: Find flg(x)] and g[f(x)]. 8 f(x) = 4x2 – 7; g(x) = %3D %3D flg(x)] = |

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Q: f(x) = 3-x2 g(x) = x² + 2x – 15 a. +g)(x) b. (ゲ-g)(x) c. (fg)(x)

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Q: +3x f(x) =e

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Q: x+2 f (x) = x³ + 3x² + 2x, h(x) = %3D x+1

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Q: f(x) = x – 4; g(x) = 5(x) - Ay

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Q: unction. g(x) = 4x2- 3x %3D g(x + a) - g(x) =

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Q: 1 f(x) = x²- 4x %3D

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