Let f(x) = 4x1 and g(x) = 2x!/2 . Find (fg)(x) and (x). Then evaluate fg and for x = 16. %3D %3D (fg) (x) = : (fg)(16) =D ()) = D:((16) = (x) State the domain of (fg)(x) and (x) The domain of (fg)(x) is and the domain of L(x) is

Q: If F(y) = y(y - 3)²; find F(x + 3). x^2 (x+2) Ox (x+3) Ox^2 (x+3) Ox(x+2)

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Q: Let f(x) = 6x + 12 and g(x) = x² – 4. - Find the domain of the following fur (a) (g - f)(x) domain…

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Q: The derivative of f(x) 4 (x2 + 3x) is O -4x3 (2x + 3) -4x 2(2x + 3) 4 O 4a-2(2x + 3) 4.x + 12

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Q: Evaluate the function for f(x) = x + 3 and g(x) = x2 − 2. (fg)(9)=

A: Given that f(x)=x+3 And g(x)=x2-2 We will find (fg)(9)

Q: Find (f + g)(1). f = {(1, -2), (0, -1)} and g = {(5, 0), (1, -3), (2, -4), (-2,4)}

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Q: -1), (c) f(0), (d) f(3), and (e) f(5). 3x f(x) = if xs -1 x-2 if x> - 1 (a) (-4) =D

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Q: Differentiate. f(x) = (x 2 - 2x + 4)ex O ex(x² + 2) O ex(x² + 4x + 2) 3 +x+4 O ex(2x - 2)

A: Given the function fx=x2-2x+4ex

Q: If f(x) = 5x+ 6-X, what is the ordered pair for x = 0 ? O (0,-1) O (0,10) O (6,0) (0,6)

A: Given that  f(x)=5x+6-x^2  To find the order pair at x=0

Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: If f(x+y) =f(x) +f(y) and f (1) =3, find f(2), f(3), and  f(4). Is f(x+y) =f(x) +f(y) for all…

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Q: Let f(x) = 3x – 6 and g(x) = x² – 3æ + 7. Then (f o g)(x) = (g o f)(x) =

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Q: State the end behavior of the function f(x) = -9x + 5x – 7x³ + 3x? – 6x As x - o, f(x) → Preview As…

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Q: 3x- 2 6. y(x)= X -1 y (x) = (x-1)?

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Q: Differentiate. f(x) = In (4x + 1)(x+7)³ (1 - 6x)5

A: The solution is given below:

Q: Find f1(-2) whenever f(x)= x2+2x-1/ex

A: We are given f(x)= x2+2x-1/ex. Here, we need to find f1(-2) that is nothing but finding f(-2).