Given the following functions, find the following combinations and their domains. Sim- plify fully. f(x)=√x-3, g(x) = x² + 4, h(x) = 4x - 3, j(x)= = 1 I- 1

Q: Find (f/g)(x) if f(x)=x+2 and g(x)=x2+4x+4. Choose from the answers below. a) (f/g)(x)=x+2 b)…

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Q: Given that f(x) = 6x +7 and g(x) = x", find (f o g)(-3). (fo g)(-3)=

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Q: 7) f(x) = x² – 3.x; Find f(-8) |

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Q: Use f(x) = 2x – 4 and g(x) = 5 – x² to evaluate the ex (a) (fo g)(x) -2x + 6 (b) (g o )(x)

A: To determine the solution of the expression.

Q: (d) (g ∘ f)(6) =  (e) (g ∘ g)(-2) =  (f) (f ∘ f)(4) =

A: Let's find value of given function.

Q: With f(x) = 4 – 3x and g(x) = 2x2 – 3x + 1, find: a) f(5) b) g(-2) c) f(4 – 2y) d) g(x + 4)

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Q: (2x)(x-y+5)(5y)

A: Firstly, we multiply 2x by each term of x-y+5

Q: 9(x) = 2x + 3 (a) g(5) 6.

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Q: find (f-g)) wherefa)=-7x²+ 8n-4 and g (x) =-11x+2-1Mx²

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Q: Find (f g)(x). f(x) = 7x + 9, g(x) = 4x - 1; A) 28x + 8 B) 28x + 16 C) 28x + 2 DJ 28x + 35 op

A: The given functions are  f(x) = 7x +9 g(x) = 4x - 1 To find (fog)(x)

Q: If f(x) = 3x - 5 and g(x) = x³ + 1 then g(f(1)) is a) 2 b) -2 O c) -7 Od) -124

A: f(x)=3x-5g(x)=x3+1

Q: 2. h(a) = 3a +3 g(a) = a +3 a. (h. g)(5) b. (goh) (²) C c. (goh)(x)

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Q: is f(x) = -3x + 4 a bijection?

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Q: f. f(t) = eat cos² b t.

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: e) Solve [(-x'y)² + (x²y)³]²

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Q: (e) 7 x² 3x2-6x x²-4x+4 (f) 1−4+1/2/2

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Q: for f(x) = (x-1)3 and g(x) = 1 - 4x, find the following  a) (f o g)(x) b) (g o f)(x) c) f(f(x))…

A: (fog)(x) = f[g(x)].

Q: Evaluate (fo g)(x) or f[g(x)] f(r) = 4x² + x + - 3 g(x) = 5x 5 (f o g)(x) = f[g(x) = %3D

A: Evaluate (f•g)(x) or f[g(x)] We apply going to apply here method of composite functions

Q: Vx (x+2) dx = (A) 국2+4 (B) r2+2 + C (0) 등(금2+ 2x)+C (D) ++C 3/2 +x3/2. 3 x (2 5 1 -+ C

A: Given, ∫xx+2dx  We have to integrate it .

Q: 10) g(a) = 4a; Find g(2a)

A: Substitute 2a in place of a

Q: If fx) = (1 - x)² and g(x) = 3 - x, find fg(x)) and g(fx)). fg(x)) = g(fx)) =

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Q: fiof)(x) =3 (3x+4) + 4 (2 X=4) +1 2

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