Given f(x)=3x² –4x and g(x)=x +2, evaluate the following: (a) f (2) (b) f(g(2)) f(x+h)- f(x)_ (c) Simplify your answer as much as possible. h

Q: Let f(x) = 5x 2 and g(x) = 2x² - 9x + 6. (a) Find (f. g)(x). (b) Find (g. f)(x).

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Q: Find the difference quotient and simplify your answer. f(x) – f(64). X – 64 f(x) = x2/3 + 1, X # 64…

A: Given that f(x)=x23+1 . We have to simplify the difference quotient. Given that,…

Q: Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) =x+9, g(x)= x- 9

A: Given the functions f(x)=x+9g(x)=x-9 To find (f∘g)(x) and (g∘f)(x) and find their domains

Q: Convert this equation to standard form: f(x) = (2x + 1)(x - 5) Of(x) = 2x² - 11x-5 Of(x) = 2x² + 1x…

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Q: 2x+1 (x2 +x+1)2 3/2

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Q: For g (x) = x² + 8x + 4, find and simplify g(1 + h) – g(1). (a) g(1+h) = (b) g(1) = (c) g(1+ h) –…

A: Given,       g(x)=x2+8x+4

Q: Find (fo g)(x) and (g o f)(x). f(x) = 4x + 8. g(x) = 2x (fo g)(x) = 16x + 8 (Simplify your answer.)…

A: We have to find function

Q: For g(x)=x2+2x+8, find and simplify g(4+h)−g(4). g(4+h)= g(4+h)-g(4)=

A: The function is considered as  gx=x2+2x+8. To find the value of g4+h, substitute x=4+h in gx=x2+2x+8…

Q: Find f. g, g. f, and g. g. f(x)=√x-9, g(x) = x³ +9 (a) f.g (b) g.f (c) g.g

A: Given query is to find indicated composite function.

Q: If f(x) = x-9/ 6  and g(x) = 6x + 9, find (g ∘ f)(x). a 6x + 45 b x c x + 18 d x -

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Q: f(x) g(x)*

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Q: et f(x)=3x-2 and g(x)=-5x+4. Compute each of the following, and simplify as much as possible. a)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-  parts for…

Q: Use f(x) = 3x – 2 and g(x) = 5 – x2 to evaluate the expression. | (a) (fo )(x) (b) (g o g)(x)

A: We have to evaluate f composition of f and g composition of g .

Q: or g(x) = x2 +5 x+ 3, find and simplify fully g(3+ h) - g(3) %3D a) g(3+ h) = b) g(3) = %3D (c)…

A: Topic = Functions

Q: For f(x) = 7x - 8 and g(x) = (x+ 8), find (fo g)(x) and (g o f)(x). Then determine whether (fo g)(x)…

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