The functions f and g are defined as f(x) = x-3, g(x) = x+ 2 a) Find the domain of f, g, f+ g, f-g, fg, ff, and

Q: Find the domain of the function. G(x) = √(1 - x)

A: To find the domain of the function

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: Let 1 f(x) = 2 9, - 2 < x < 5 - The domain of ƒ¯'is the interval [A, B| where A = and B =

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Q: Find f such that f ' (x) = 4x -5, f(5) = 0

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Q: Let f(x) = x³ + 2, g(x) = x- - 3, and h(x) = 8x + 3. Find the rule for the function. %3D f-g

A: Given function is : fx=x3+2gx=x2-3hx=8x+3  To find the value of fx-gxhx

Q: The domain of the function f (x) = x/x - 2 consists of all x ∙ 2.

A: We have to find domain of the function fx=xx-2 We can see this function is defined for all real…

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = x2 + 2x,    g(x) = 3x2 - 1

A: Given functions are fx=x2+2x,gx=3x2-1. f+g=x2+2x+3x2-1=4x2+2x-1 Domain of f + g is -∞,∞.

Q: Let f(x) = x2 - x - 4 and g(x) = 2x - 6, Find (f/g)(x) and its domain.

A: Let f(x) = x2 - x - 4  and g(x) = 2 x - 6 Formula used: (f/g)(x) = f(x) / g(x)

Q: Let f and g be functions defined by, f(x) = Vx+ 2 and g(x) = Vx2 + 1. Find the functions gof, , f +…

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Q: Let f(x) = x2 - x - 4 and g(x) = 2x - 6.Find (g - f)(x).

A: Given

Q: f(x) = xe-x²/128 [-2, 16]

A: Let's find.

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = 5 - x,    g(x) = x2 - 3x

A: Given, f(x)=5-x  and g(x)=x2-3x To find  f+g, f-g, fg, f/g.

Q: If ƒ and g are real-valued functions, how are the domains of ƒ + g, ƒ - g, ƒg, and ƒ&gt;g related to…

A: Take f:D1→ℝ and g:D2→ℝ. Then, the operation f+g is only possible when the domain is D1∩D2. That is…

Q: Let f (x) = 5x, g(x) = 2x² + 1, & h (x) = 6x + 2., find (go f) (x). Show your work using the…

A: fx=5x, gx=2x2+1, hx=6x+2

Q: The domain of f(x)=y=. x-1 x+2 is

A:

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

A: The given functions are: f(x) = x, g(x) = 2x The sum of these functions is given by: f(x)+g(x)=…

Q: Let f(x) = 7-5x and g(x)- 2x-3, Find g(-1/2)

A: gx=2x-3

Q: If f(x) = X-2 %3D -, then f'(1) = %3D ,2 x+4

A:

Q: Let f(x) = - 3x +2 and g(x) = x – 4. Find the difference (g - f)(x). %3D

A:

Q: The graph of function f(x) = x³ – 6x² + 9x + 1 is - concave upward on O (-∞0, 2) O (-∞, ∞0) O (2,…

A: The given function is: f(x)=x3-6x2+9x+1

Q: A function f is defined by Ax + 5 f(x) 6x - 2 If f(1) = 4, find A.

A: Given: fx=Ax+56x-2  ……1   and, f1=4  ……2   To find: A

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

A:

Q: can i get help step by step

A: We have to essentially find the integral of the given function

Q: Find the domain of the function 3 - x f(x) = In x + 5 %3D

A:

Q: Find a rule for g-(x) if: g(x)=3x +2 %3D g(x)=| %3D

A: For finding inverse of the function g(x) replace x by y and g(x) by x and solve for y.

Q: Determine the values of x for which f (x)=x",x >0 is increasing or decreasing.

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = xe-x²/98…

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Q: бх + 6 Determine the domain of f(x)= x²- 6x

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Q: Find f such that f'(x) = 2x + 5x - 3 and f(0) = 7. f(x) =

A: Integration both side with respect to x

Q: 4. If f(x)= and g(x)=determine the domain of g(f(x))?

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Q: find the domains and ranges of ƒ, g, ƒ + g, and ƒ # g.1. ƒ(x) = x, g(x) = 2x - 12. ƒ(x) = 2x + 1,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let f(x) = √20- x and g(x) = x² - x. Then the domain of fo g is equal to

A:

Q: Let f(x) = 7-5x and g(x)- 2x-3, Find g(-K2)

A: Consider the provided function, fx=7-5x  and  gx=2x-3 Find the expression for g-k2.

Q: Find the domain of the function. g(x) = In(x - x2)

A: The domain is the set of values for which the function is defined or gives a real number as an…

Q: Find the domain of f(x) 10 - x

A: To find the domain of f(x)=610-x Solution: We know ,A rational function is defined for all values…

Q: Let f(x) =x² +3, g(x) = /x +1 then (gof)(x) =

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

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Q: Let f(x)= -4x+3 and g(x)=x^2 -2 Find (g-f)(x)=

A:

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

A: fx=3-x2, gx=x2-41 f+gx=fx+gx2 f-gx=fx-gx3fgx=fx.gx4fgx=fxgx

Q: Express the function,h(x) = (2x - 5)3 as a composition of two functions f and g so that h(x) = (f ∘…

A: Given, hx=2x-53

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 + g, f - g, fg, and f/g and their domains. f(x) = 3 - x2,    g(x) = x2 - 4

A: Given f(x) = 3 - x2,    g(x) = x2 - 4 To find  f + g, f - g, fg, and f/g and their domains.

Q: Let f(x) = x + 10 and g(x) = x² – 9. Find the domain of (-) (x)

A: Solution of the problem as follows

Q: Find f such that f'(x) = x - 5 and f(0) = 3. f(x) = %3D

A: Given: f'x=x2-5 f0=3   Integrate the function with respect to x. ∫f'x=∫x2-5dxfx=∫x2dx-5∫1dx=x33-5x+C

Q: Find the domain of f(x) = √(x + 3) + √(x - 1).

A: f(x)=x+3+x-1

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 f + g, f - g, fg, and f/g and their domains. f(x) = x2 + x,       g(x) = x2

A: Given functions,  f(x) = x2 + x,       g(x) = x2 To find f + g, f - g, fg, and f/g and their…

Q: The graph of function f(x) = x³ – 6x² + 9x + 1 is concave downward on O (-∞, 2) O (-∞, ∞) O (2, c0)…

A: