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)…

A:

Q: Find (go f)(x) if f(x) = 2x2 – 3x and g(x) = x + 2 O 2x2 + 5x + 2 O 2x2 + 5x + 8 O 2x? – 3x +2 O…

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

Q: f (x) = x2 + x - 12/x + 4, x = -4

A: Given function is,  fx=x2+x-12x+4. The objective is to find the fx at x=-4. So, The value of fx at…

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

A:

Q: Find f(x) divided by g(x)

A:

Q: 4) Find f(x - 1) when f(x) - 4x2 - 4x - 7.

A: f(x) = 4x2 - 4x - 7 f(x-1) = ?

Q: Let f(x) = 3x³ - 8x² + 4x + 6. Find f(0). f(0) =

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

Q: Differentiate f(x) = (2x³ + 3x² )(x² + 5x³ +5) using product rule.

A: This question is based on product rule of differentiation.

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: Suppose f(x) = 2² +1 and g(x) = + 1. Then (f + g)(x) = (f - 9)(x) : = (x)(6f) (f/g)(x)= (fog)(x) and…

A: The given functions are fx=x2+1 and gx=x+1

Q: show that 1f ∘ g2 (x) = 1g ∘ f2 (x) = x.

A: The given functions are fx=9x-6  and   gx=19x+6. This implies that, f∘gx=fgx=f19x+6=919x+6-6=x+6-6=x

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)) =…

Q: If f(x) = 5x2x+4, find the following. f(3) f(-3) f(a) f(-a) = = = = f(a + 1) = 2f(a) = f(2a) f(a²) =…

A: Step 1: Step 2: Step 3: Step 4:

Q: In f (x) = -3x* + ax³ – 4x2 + 2x + 11, if f(3) = 40, What is a?

A:

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

A: Kindly note, As per the company rule, we are supposed to solve the first three subparts of a…

Q: f(x) = 2x - 5 and g(x) = x^2 + 2, find the (fg)(x)

A: Solution:Given     f(x)=2x-5   and     g(x)=x2+2To find (fg)(x)Formula:(fg)(x)=f(x)g(x)

Q: 1f fC)-3x-4 -ndg)=2びナx, find slfk)

A:

Q: Find g(x)= -x2+ 5x - 2 when g1(2)

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

Q: If f(x) = x² + 7x and g(x) 6 -, find f(x) x g(x) Answer f(x) 2 g(x)

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-…

A:

Q: Find (f1) (3) if f(x) = x³ + x + 1. 3 (f-1) (3) = (Simplify your answer.)

A:

Q: f(x) = 4 − 2x/(x + 1)(x + 3)(2x + 1) = A/(x + 1) + B/(x + 3) + C/(2x + 1) find the values of A,B,C

A:

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

A: