Given the functions f(x) = x² -3 and g(x) = 2x + 1, find... a) f(9(x)) b) gof(x) c) ff(x)) d) gog(x) on A

Q: The functions f and g are defined as f(x) = 2x – 1 and g(x) = x² +1. Which of the following…

A: h(x) = g(f(x)) is called composite function of f(x) and g(x).  Here the value of of function f(x) is…

Q: E. Perform the indicated operations given that f(x) = 2x² + x - 3, g(x) = 4x² - 9, and h(x) = 2x + 3…

A: We are authorized to answer three subparts at a time, since you have not mentioned which subparts…

Q: Let f(x) = x2 and get g(x) = 2x. Find the value of (g ∘ f)(x) (a) 48 (b) 36 (c) 72 (d) 144 (e) 18

A: In (gof)(x), input function is f(x) and output is g(x).  To find ( g o f )(x), one have to plug f(x)…

Q: For f(x) = Vx+5 and g(x) = x + 8, the domain of x-9 x is?

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Q: 9. Given f(x)=4x+3 and g(x)=x, find (g•fXx) 10. Given f(x)=x-1 and g(x)=xr +2x-8, find (gofXx)

A: Question no. 9,Given,            fx=4x+3  and gx=x2

Q: Let f(x) = x2 + 2 and g(x) = 2x - 3. Evaluate (fo g)(x). (fo g)(x) =| (Simplify your answer.)

A: (fog)(x)= f(g(x)) f(x) = x^2 + 2  g(x) = 2x - 3

Q: Given two functions f(x) = x² – 3x and g(x) : - = x + 13, find the following. a) f( – 2) + g( – 2)…

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Q: f(x) = x2 + 2, g(x) = x2 - 2.Find:a. (f ∘ g)(x)  b. (g ∘ f)(x)  c. (f ∘ g)(2)  d. (g ∘ f)(2).

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Q: Let f(æ) = a² + 3 and g(x) = 2x – 1. Which of the following is fo g(æ)? fo g(x)= 4x² +3 %3D fo g(x)=…

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Q: If f(x)=x²-4 and g(x) = 3x, find a. (f+g)(x) c. (f.g)(x) a. (f+g)(x) = (Do not factor.) b. (f-g)(x)…

A: use the algebraic property of the function.

Q: Evaluate  (f ∘ g)(5). f(x) = 2x + 1 g(x) = x + 9 (f ∘ g)(5) =

A: f(x) = 2x+1 &, g(x) = x+9 So, g(5) = 5+9 = 14

Q: Suppose f(x) = 2x² + 6x + 2. Compute the following: A.) f( – 3) + f(1) = B.) f( – 3) – f(1) =

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Q: Given that f(x) = x² – 7x and g(x) : (a) (f + g)( – 4)=| = x + 10, find (b) (f – 9)( – 4)= (c) (fg)(…

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Q: Find the discriminant of: f(x)=(5x+4)(2x+2)

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Q: (2022) , find feua (0) (1-x3 2x given f(x) 2

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Q: If f(x) = x + 6 and g(x) = x² - 5, find the following. b. g(f(0)) d. g(f(x)) a. f(g(0)) c. f(g(x))

A: We are authorized to answer three subparts at a time since you have not mentioned which part you are…

Q: Let f (x) = x² and g (x) = 2x - 4. Find the following: (a) f(3) + g (3) = (b) f(3) g (3) = (c) (d)…

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Q: f(x) = x2 + 1, g(x) = x2 - 3.Find:a. (f ∘ g)(x)  b. (g ∘ f)(x)  c. (f ∘ g)(2)  d. (g ∘ f)(2).

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Q: Let f(x) = 6x – 4x² – 7x³ and g(x) = 9x² – 5x . Find (f + g)(x) and (f – g)(x). Then evaluate f +g…

A: Question- Let f(x) = 6x - 4x ^ 2 - 7x ^ 3 and  g(x) = 9x ^ 2 - 5x  Find (f+g)(x) and (f-g)(x). Then…

Q: For the given function f, f() = -2( )2 + 3( ) find the following and simplify as much as possible.…

A: For the given function f, Now,

Q: If f(x) = 2x² - 8 and g(x) = 2x + 1, evaluate f(g(x)) when x = -3 -30 O-19 42 O46 60

A: Given: f(x)=2x2-8 and g(x)=2x+1