A function f : Z → Z is defined by f(n) = 2n + 2. Determine f(E), where E is the set of even integers. Determine f-1(D), where D = {6k : k E Z}. (a) (b),

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A: to find an inverse function, interchange variables, and solve for y

Q: Find: a. (f ∘ g)(x)   b. the domain of f ∘ g, given f(x)=x/(x+1),  g(x)=4/x.

A: The functions                   We have to find the composition function (f0g)(x) and also the…

Q: 1. Let f(x) = x? – 1 and g(x) = x² +x – 6. (a) Find (f – 9)(x) (b) Find (x) and give its domain. (c)…

A: R is the set of all real numbers

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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: Let g be the function g(x)=x²-x. Find g(-a). O None of these. O-a² + a O a² +1 O-a²-a O a² + a O…

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

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Q: In(2) ith(7-32) + vr² + 1. Answer using interval 3. Find the domain of the function f(x) = + In…

A: In our function three expression added together. Hence we going to see each expression separately…

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: Let f (x) = x- 7 and g(x) = x² – 16x + 63, then f(x) g(x) Select one: O a. X-9 O b. x+7 x+9 O d.…

A: Given: f(x) = x -7 g(x) = x2 - 16x + 63   To find: f(x) / g(x)

Q: Put the function Q= (t-2)(t+2) - (t+4)(t-1) in the form Q= it and state the value of k

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Q: Consider f(x) = 9x – 8. a. Compute: f(a) = b. Compute and simplify: f(a + h) c. Compute and…

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Q: The domain of f(r) = /3 – ± In(x) is Select one: O a. (0,3] O b. (0, 00) О с. (0, 3] O d. (-00, 3)

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Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: Find a → evaluation for the function (4n+1) 8¹ogn

A: Solution: f(n) = (4n + 1)8log n        = (4n + 1) (23)log n              [here , we assume base of…

Q: Define f(x ) = Vx2 +1 and g(x) = 2 – x2. State the domain of (f + g)(x ). x # v2, –v2 - [-1, 00)…

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Q: Consider the function f(x)=√x+5-9 for the domain [-5, ∞0). Find f¹(x), where f -1 is the inverse of…

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Q: Let f(x) = 2x – 5 and g(x) = x² – 7x + 2. Then (f o g)(x) = (go f)(x)

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Q: - ∞ , - ∞)   B.( x | x ∈ R )   C.(- ∞, ∞)   D.( y | y ∈ R )

A: The function given is , y = 3x - 3. The domain of the function is defined as the set of values of x…

Q: | Let f(x) = 2x³+3x²-x-5. Determine f[x0, x₁, x2, x3] and ƒ [x0, X₁, X2, X3, X4].

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Q: The number of foreign language teacher jobs in the United States for the 2022-2023 school year can…

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Q: The function f(x) = 8x – x² is increasing on : A. (-00, 4). В. [4,00). C. [0, 8]. D. [-8, 0]. Select…

A: Given function is                                                f(x)=8x-x2 function will be…

Q: Find f(-8), if f(x) = x² + 5x - 27

A: The given function is: f(x)=x2+5x-27

Q: Consider the function f(2) = 5x²y2 + i 3x²y² Determine at which points the function f(z) is…

A: answer