Let f (x) = and g (x) = Va +2. Find (f o g) () and its domain. e+2 O (f o g) (x)= domain: (-0o, 1)U(-1, 0) +1 O (f o g) ()= u, 0 3x2-2 domain: (-00, -1) U(-V V 22-1 ofo 9) (2)- 2 Va+2 domain: [-2,-1)U(-1,1) U (1, 00) 2-1 O (f o g) (x)= x+2 2+1 domain: [-2, -1)U(-1, 00) 3-2 V 2-1 domain: (-00,-1) U (1, o0)

Q: If ƒ (x) = x − 7 and g(x) = O(-∞, 4) 0 (-∞, 4] O (4,0) O [4,00) O (4,7) U (7, ∞0) what is the domain…

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Q: Let f(x) = 4x + 3. Determine (f ofo f)(x). (f o f o f)(x)

A: Composite functions: composite functions are the functions substituted inside the other function.…

Q: Let f(x) = 5x-4 and g(x) = x2 - 1. Find (go f)(-1). O A. -82 о в. -4 о с. 0 O D. 80 O A О в O c O D

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Q: Find f(x) and g(x) such that h(x) = (fog)(x). 4 h(x) = (6x+3)* Choose the correct pair of functions.…

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Q: if f(x) = 3 and g(x) = f(x) – 1 then (f .g)(-3) О а.-3 O b. 6 C. 9 Od. 27

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Q: Determine whether the functions f1(x) := x + 1; f2(x) := sin(x); f3(x) := x - 1; f4(x) := 3 are…

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Q: Find (g o f)(x) and (fo g)(x) for the given functions f and g. x) - o(x) = Vx-2 x- 2 (go n(x) - (fo…

A: Given: fx=1x2, gx=x-2 To Find: gofxfogx

Q: 1 Let f(x) = x²-3x+2, g(x) = and h(x)=√1-x. Find f( - 6), g(-6), h(-6), h(a), and h(-x).

A: Let's evaluate the functions step by step. Given Functions 1.f(x)=x2−3x+2 2.g(x)=x​1​ 3.h(x)=1−x​…

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: Find f(g()) and g(f(2)) for the pair of functions. f() =+1 g(2) 34x-17 flo(2)) = %3D 9(f(=)) = %3D

A: Given, f(x) = x + 1  g(x) = 4x - 17

Q: b) h(x) - 13 — 2х - х?). c) h(x) = V3 - x 5, d) h(x) = Vx³ + 4x2 + 1.

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Q: Given y = f(x), if f(2)= -3 f(4) = 5 f-¹(-7)=2 Decide if f(x) is invertible. Give a clear…

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Q: Describe the long run behavior of f(x) = 2(x + 2) (x + 3) (x + 5): As x → 00, f(x) → ? v As x → 0,…

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Q: Find f(g(-5)), if f(x) = „4 and g(x) = (x+ 4)² O -7/9 O -7/3 O 2/9 O 1051/81

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Q: 1. Let f(r) and g(a) 4x + 1. 4 Then (f o g)(6) (ƒ o g)(x)

A: We have to find function

Q: Find f-1 (x) for f(x) = 7x + 4. O 1-²=-²/x-1/ O f¹(x) = -7x+4 O---- O f-¹(x) = -7 x - 4

A: For finding the inverse of a function replace all x with y and all y with x and then solve for y.

Q: e-X f(x, у) %3D x2 + y2

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Q: . Let f(x) = x2 + x + 3, g(x) = 5x + 3 and h(x) = 2x2 – 4x + 1. Find the following: a. f(4x) b.…

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Q: 1 Let f(x) and g(x) = 4x + 5. - 4 | Then (f o g)(6) (f o g)(x) =

A: The solution is given below :

Q: Let f(x) = 1 and g(x) +4. Then (fo g)(æ) (go f)(x) =

A: (f o g)(x) = x/6 (g o f)(x) =(4x -10)/(x-4)

Q: Evaluate (f− g) , (1) and (3f + 2g) , (1), assuming that f , (1) = 3 and g , (1) = 5.

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Q: 15. Subtract the functions: f(x)- g(x) where f(x) = -3x + 6 and g(x) = 4x- 2 h(x) = f(x) - g(x) =…

A: Answer and explanation is given below...

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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