Let h(x) f(x) where f(x) = In(3x2 + 2x + 2) and g(x) = -2x. What is h' (x)? g(x)' Select the correct answer below: -12x2-4x +2 In(3x2 + 2x +2) 3x2+2x+2 4x2 (-12x2-4x)(3x² + 2x+2) +2 ln(3x2 +2x + 2) 4x2 12x2+4x +2 In(3x2 – 2x +2) 3x2-2x+2 4x2 -12x2-4x 2 In(3x2 + 2x+ 2) 3x2+2x+2 4x2

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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A: Given: fx=2x2-3x and gx=x+2 To find: gofx

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A: we are given the function and we need to find out the value of the function at x=0.

Q: Define f(x) = x2 + 2x-15 and g(x) = (√x+4)  (Note: x+4 all under square root) Give the value of…

A: We will find the value of (fg)(5) from the given information using the composition of functions.

Q: Determine f(g(2))where f(x)=4x+6 and g(x)=5x

A: f(x) = 4x+6, g(x) =5x Therefore,  f(g(x)) = f(5x)             = 4(5x)+6            = 20x+6 f(g(x)) =…

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A: Step 1: Step 2: Step 3: Step 4:

Q: 1. f(g(2)) 2. f(g(x)) 3. f(f(x))

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Q: Find g(x)= -x2+ 5x - 2 when g1(2)

A: First calculate g'(x) then put x = 2.

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A: Step 1: Step 2: Step 3: Step 4:

Q: Differentiate: f(x) = (6x² – 3x)-8 A (96x- 24)(6x² – 3x)-7 (- 96x +24)(6x² – 3x)-9 B (96х-24)(6х2-…

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Q: Which is the quotient of f(x) if f(x)= 2x? + 3x -5 and g(x)= 3x² -x -2? g(x)'

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