The functions f and g are defined as f(x)= 2x- 1 and g(x)= -9x2. f g a) Find the domain of f, g, f+g, f-g, fg, ff, and g. () b) Find (f+ g)(x), (f-g)(x), (fg)(x), (ff)(x), (x), and (x). a) The domain of f is (Type your answer in interval notation.) The domain of g is. (Type your answer in interval notation.) The domain of f+g is (Type your answer in interval notation.) The domain of f-g is (Type your answer in interval notation.) The domain of fg is (Type your answer in interval notation.) The domain of ff is

Q: The range of f(x)=/4-x² is [0,2] O (-00,2] [2,0) O [-2,0] [-2,2]

A: Range :- set of all output values

Q: Find The value of K, to Continue The function X-2 f(x)= 4-JI4+X メ+23 - %3D メ=2

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Q: f(x) = x3 + x2 - 6x y 30- g(x) = 6x 20+ (3, 18) 10+ -10+ -20- (-4, -24) -30- 2.

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Q: find domain of f(x)=-5x+2

A: Recall the following fact.

Q: find domain V2 + x 65. g(x) 66. g(x) 3 - x 2r2 + x - 1 67. g(x) = V – 6x 68. g(x) = Vx² – 2x – 8

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Q: Let f(x) = square root 17 - 5x, g(x) = x2 + 4x -3. Find the domain of F

A: Given,          The two functions are fx=17-5x and gx=x2+4x-3.

Q: How to find f-1(x) of f(x)=x2-18x. Can you please give steps as well.

A: The given function is f(x) = x2–18x.Replace f(x) by y as y = x2–18x.Interchange the variables and…

Q: Find (f- g)(1) when f (x)= -3x2 + 4 and g (x)= a- 4.

A: Given :

Q: The domain and range of f(x,y)=81-x^2-y^2

A: We have to find the domain and range of fx,y=81-x2-y2.

Q: Find the quotient of (x/2 - 2/x) and (1 - x2/4). What are the restrictions on the variable?

A: We have to find the quotient of the given two expression.

Q: Find the inflection points of f(x) = 3x4 + 17x³9x² + 4. (Give your answers as a comma separated…

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Q: Find points of inflection(if any) f(x)=2x4-12x2+5

A: Given function is Firstly, we will find f''(x) Now,

Q: If f(x) = - 2x + ax² +2 and f(2) = 2a, find a. %3D 2.

A: A function is a relation connecting two variables, in such a way that one  variable varies with the…

Q: [3] If f(2x+3)=4x²-2x+3, find f(x)

A: Firstly put t=2x +3 and find f(t) ,After that replace 't' as 'x'.

Q: Find (f-1)'(a). f(x)=5x3+4x2+5x+2, a=2

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Q: Find the domain of: f(x) = x2 - x + 5

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Q: Let f(r) = 5z² +3x +5 f'(x) = f'(3) =

A:

Q: 5x°+7x Differentiate f(x) - using quotient rule. %3D 2x2-4x+5

A:

Q: How do I find the domain of the function f(x)=x4/x2+x-56?

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Q: 5x2 f(x) = + 21x + 4 -, a = -2 x2 +2x

A:

Q: What is (go f)(-1) if f(æ) = 2x + 3 and g(æ) = ? %3D

A: When two functions are combined in such a way that the output of one function becomes the input to…

Q: The functionf(x)=5x−1 f ( x ) = 5 x - 1 is shown on the coordinate plane. Which statement is true?

A: A limit in which f(x) increases or decreases without bound as the value of x approaches an arbitrary…

Q: Sketch the graph of:

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Q: Find f(x) such that f'(x) = 2x4-7x and f(2)=3

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Q: maximise x1 + 2x2 subject to -x1 + 2x2 < 6, x1 + 3x2 < 12, X1, X2 20

A: Linear programming, graphical method

Q: Find g(x)= -x2+ 5x - 2 when g1(2)

A: First calculate g'(x) then put x = 2.

Q: The domain of f(x)=V4-x+Vx-4 is

A: Given that f(x) = √4-x + √x-4 find the domain of function f(x) . We know that the domain is the…

Q: Find f(-3) if f(x)=x² + 2x - 1

A: Find the f(-3)

Q: Find (f-1)' (a)   f(x)  = √( x3 + x2 + x +1 ) , a= 2

A:

Q: Let f(x)= 56-2) (x+1 What is the domain? b find all x-intercepts OFind y-intercept if it exists?

A:

Q: Find the points of inflection. 7) f(x)=x√√9-x2

A:

Q: Find (gof)(x) if f(x) = 4x and g(x) = 3x+6

A:

Q: If  f(x) = x2 - 2x - 2  then f(-2) =

A:

Q: B. Qurfient Rule ) f x)= x² 3x²

A: fx=x3-3x2x

Q: Find (f-1)'(a). f(x) = 4x3 + 4x² + 8x + 4, a = 4

A: Derivative of inverse of a function

Q: x + 2 f(x) = x2 - 2x - 8 : ---Select-- ---Select--

A: Given query is to find the value of x where function is discontinuous.

Q: If f(x) = 3x2 +2x -1, find f(0), f(3), and f(-2).

A:

Q: The range of f(x)= -/2-x² is %3D [-/2,0] O [0,/2] [-2,2] [2, 0) [0,2]

A:

Q: Find (f-1)(a). f(x) = 5x3 + 4x² + 6x + 6, a = 6 (F-1)'(a) =

A: We have to find out

Q: 7. State the restrictions on f(x) 2x 3x-6

A:

Q: I need f(1) f'(1), f"(1)

A: (a)  f(x) = x4/(x2 -1)Let us first find f'(x) and f''(x)

Q: 14-x Vx-1 Find the domain of y | 3+x x+5

A: The given function is: y=4-x3+x-2-x-1x+5

Q: Find the domain of the function f(x) = /x² – 2x – 15 Domain is (-00,-3]U[5,00) O Domain is (-00,…

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Q: Find f. F"(x) = 20x³ + 12x²+ 4, f0) = 4, ( 1) = -1 Ax) =

A: Let us denote y = f(x). So,…

Q: f(x) = x2 + 4x – 5, x < -2 -

A:

Q: Find f'''(-3) f(x)=4x^5-3x^4+5x^2-15

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Q: Find f+g, f-g, fg and f/g and their domains.  f(x)=2/x , g(x)=4/x+4  Answer should be:

A: we have given f and g  We have to find the value of f+g, f-g, fg,f/g and their domain

Q: Find the points of inflection. 7) f(x)=x√/9-x²

A: