Given the functions fAx) = cos(x) and g(x) = x - 5x- 6, determine the domain of the combined Ax) function y = g(x) a) {x e R, x * O b) {x e R, x + -2, x * -3} {x e R, x+ 2, x * 3} {x € R, x + -1, x * 6}

Q: For the functions given, find a) (f • g)(x) and b) (f•g)(2). f(x) = x- 5, g(x) =x+8 a) (f•g)(x) =…

A: Here two functions are given f(x) and g(x) . We have to find the composite functions. That is…

Q: (8) 3a. Given the functions f(x) and g(x), find: a) domain b) range c) inverse of the function d)…

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Q: a) Let f: R-R be a function defined as f(x) = (x+2)?. Determine whether the function is one to one.…

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Q: 16. Let f(x) = -x³ + 3x - 4 and g(x) = 2 – x. Find the composition (f(g)) and its domain. Rep the…

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: Let f(x) = m1x + a and g(x) = m2x + b, where m1, m2, a, and b are constants. Determine the necessary…

A: f∘g=g∘ffgx=gfxfm2x+b=gm1x+am1m2x+b+a=m2m1x+a+bm1m2x+m1b+a=m1m2x+m2a+bm1b-b=m2a-abm1-1=am2-1

Q: 6. Use algebra to determine whether the given functions are is even, odd or neither a) f(x) = -x³ +…

A: For a given function f(x)  If it satisfies the condition  f(-x) = f(x), then the function is Even.…

Q: Given the function fA(x) = x², g(x) = 3x – 4, find the composite function gof (where gof'means…

A: I have find inverse of f the composition

Q: 1. State the domain and range of f(x) = /9(x - 4) + 2 D:[2,00) A. D:[4,00) В. D:[4,00) D:[2,00) D.…

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Q: 2x x - 3. a) Find the domain of the function: [-3, ∞0) (-∞0, 3] (-∞, 3) U (3, 0) (0, -3) U (-3,0) 2.…

A: According to bartleby guidelines we supposed to do the first subparts of multiple subparts kindly…

Q: Find functions f and g so that fo g=H. H(x) =x +4 Choose the correct pair of functions. OA. OB. f(x)…

A: Solution

Q: What are the valuesbof x where tge functions f(x) = (3x+2)(x+1)\x+3 is undefined?

A: Consider the function f(x)=(3x+2)(x+1)x+3

Q: The vertex of the parabola f(x) =(x+3) - 4 is а) (-3, -4) b) (3, -4) с) (3, 4) d) (-3, 4)

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Q: 1 x-2 f(x)=- y g(x)=√x

A: To find the composite function

Q: If f(x) = v(x - 1)/ (x - 9), then the domain of f is given by the interval A. (1, +00) B. (-3, +3)…

A: The given function is  f(x) = sqrt[(x - 1)/(x2-9)]

Q: Let a, b 0. Find f(100) (a) provided that x³ (a - bx)²* f(x) =

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Q: Write the formulas of fog for pairs of real functions f, g. (a) f(r) = x², 9(x) = x – 2 (b) f(x) =1,…

A: A composite function is generally a function that is written inside another function. Composition…

Q: Find a,b to continue the function at x=3 if: x > 3) x = 3 x < f(x) = ax + b 2ab + 1 bx - a +3 3)

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Q: cos x and g(x) x²-x-6 a) What is f(x) g(x) b) What is the domain of f(x), g(x) c) Determine the…

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Q: Sketch a graph of the function f(æ) = 3 sin(,2) – 1 6+ 4 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5 6 -2 -3…

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