Define F : R → R and G : R → Z by the following formulas: F(x) = (x^2)/3 and G(x) = ⌊x⌋ for every x ∈ R . (a) (G ∘ F)(2) =  (b) (G ∘ F)(−3) =  (c) (G ∘ F)(4) =

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: Consider the functions f(x) = x² 4 and g(x)=√x-2. Which of the following is an element of the domain…

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Q: 8) Use the functions f(x) = x² and g(x)=√2-x to find the specified function its domain: a. (f-g)(x)…

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Q: For which a is each of the following functions defined 2x – 3 (a) f(x) = (b) 1 g(x) = 3x + 2 4.x + 5

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Q: find functions f and g so that f ∘ g = H.

A: H(x)=2x+1

Q: Find the inverse of the functionf(x) = √(r 2 - x2) , 0 ≤ x ≤ r

A: Inverse actual meaning is upside down, and in the function case the meaning of inverse of the…

Q: The functions u and w are defined as follows. u (x) = -2x-1 w (x) = 2x²-2 Find the value of u (w…

A: u(w(3))=-33

Q: The domain of the function' f(x)=√ is Select one: O a. (1,00) O b. (-∞0,1) O c. (0,00) O d. 0,1 Oe.…

A: Domain of the function

Q: Find and sketch the domain for the following function: g(x, y) = x-y

A: The given function gx, y=4-x2-4y2x-y. We have to find its domain and sketch its graph.

Q: Express the function F in the form f ∘ g ∘ h. (Enter your answers as a comma-separated list. Use…

A: first we analysis to given question that how to find f, G, h then we compute F(x) function.

Q: Express the following functions F, H and G in the form f∘g. (Enter your answers as a comma-separated…

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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: Express the function F in the form f∘g. (Enter your answers as a comma-separated list. Use…

A: Remark: we know that (f•g)(x) = f(g(x))

Q: Find the following. Let f(x)= x+1, g(x)= 2x, and h(x)=x-2. a. (h o h) (x) b. (f o g) (x) c. (g o h)…

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Q: What is the inverse of the function 2х + 1 f:R → R, f(x) ? 3.

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Q: Express the function H in the form fo g. (Enter your answers as a comma-separated list. Use…

A: we have to find the composition function

Q: Let f(x) — За — 1, g(х) 1, g(x) x + 2, and - h(x) 3x + 4. Perform the indicated operation. (Simplify…

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Q: Consider the following functions. f(x) =  1   x,   g(x) = x2 − 4x Find  (f ∘ g)(x).…

A: Since we only answer up to 3 sub parts, we'll answer the first 3. Please resubmit the question and…

Q: F(x) = f ∘ g ∘ h. Identify functions for f, g, and h. F(x) = √(2x − 2)

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Q: 3. Let f(x) = , and g(x) = 4 – x² define (fo9x) define (fo g\(x) X-3 the domain of the three…

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