1 Which of the following is the antiderivative of f (x) : ? (x + 2)1 – Væ +2 None of the given choices F (r) = 4 (In (| Vr +2 – 1) + v#+2) +C F (x) = 4 (In (| Væ +2 +1) – V+2) +C O 1|) + V#+ 2) +C F (x) = 4 (In (| Væ + 2+ D 1) – Va +2) +C E F (x) = 4 (In (|Væ + 2 – %3D

Q: IT X) IS defined as foilows, ina (a) i( – 2), (D) (U), and (C) I(2). x? if x 0 (Simplify your…

A: Since the given function is a piecewise function therefore we need to take care of the branch of the…

Q: 4. f (x) = 5 - x and (gof) (x) = x2-10x + 30 since the function g(x) is the following- which is…

A: The solution is:

Q: 1. Let f ( x) =5x+ 4 and 8( x) =2r – 6, find the following: a. (f + g) ( x) b. (f – 8) ( x) c.…

A: The given functions are f(x) = 5x + 4 and g(x) = 2x – 6. Composite function: A composite function is…

Q: 2. [K&U/5] for the relations f(x)=√x and g(x) a) 2f(1)-3g(4) = 2(x + 2), determine the following b)…

A:

Q: 8. What is 3[ f(x +2)] if f(x) = a + 4x? – 5? O 30 4 30r+ 84x + 57 O o+ 10x?+28a + 19 3a 19z+ 18a…

A: Applying function value at different point

Q: Find f(x) and g(x) such that h(x) = (f o g)(x) and g(x) = 3- 5x. h(x) = (3 – 5x)³ – 2(3 – 5x)² + 5(3…

A:

Q: Let 2 f(x) = a² + 9 and g(x) = /3x – 5 If h(x) = (f o g)(x) and k(x) = (go f)(x) then h(3) and k(3)…

A: Composite functions

Q: Which of the following is an antiderivative of f(x) = * - 2x* + 4

A: we have to find antiderivative

Q: Describe the long run behavior of f(x) = - (x + 4)(x – 5) (x + 2)°: As x → , f(x) → ? As x → 00.…

A: To check the behavior of f(x)

Q: 7. Which is the domain of the function x + 8 + V3 – x – - 2 5, f (x) = Vx +7+ Vx + 3 ? (-0, 3) – {2}…

A:

Q: Answer a, b,c

A: To find the following parts.

Q: 4. If f (x) = -3x2 + 1, g(x) = v=x+ 4, h(x)= 3log2(x + 16) and m(x) = {(-10,2), (2, –3), (1,– 1)},…

A:

Q: 46. If f(r) = 2ur +|r – 2| – ||| and 0 < z < 2, then S(z) = A 2 B 2+ 4x C 2-4r D -2+ 2x 2 –

A: Given that fx=2x+x-2-x with 0≤x&lt;2. Since 0≤x&lt;2, we have  x-2&lt;0 and  x≥0. Now,…

Q: 4s – 1 L-1 Is?(s+ 1)3

A:

Q: C.X+1 d. x-1 8. If f(x) =x and g(x) = x+ 1, what is (fo g)(x)? C.x-1 7. If f(x)=x and g(x) = x+ 1,…

A:

Q: The antiderivative of the function f(x) = + 8x is x2 6. + 4.0x2 + c - 4.0x2 + c - -8 + 3.0x2 + c -9-…

A:

Q: 9. Find f(x), g(x) such that h(x) fog(x) (note: many different correct answers, (a) h(x) = (5 – 2x)*…

A:

Q: 26. Let f (x) = vx - 1 and g(x) = x² – 4. A. Find (fog)(x) and (gof)(x). B. Find all real values of…

A:

Q: 17. If f(x - 1)+ 2/(1 — х) %3 3х, what is f(x)? А) -Зх + 1 В) х—3 С) -х +3 D) -3x – 1 |

A:

Q: 1. A quadratic function is defined by f(x) = 2x + 6x - 20. Which of the following expresses f(x) as…

A:

Q: f(x+h)-f(x) for f(x) = 2x2 +11 : Find %3D

A: Given function: f(x)=2x2+11   To find f(x+h)-f(x)h, we have to need the values of f(x+h) and f(x).…

Q: Show that f(x)= = x³+2x-4 4x²-5 is O(x).

A:

Q: Q1) A) Whether the function is even, odd, or neither. 1) h(x)= 2x +1 2) k(x) = x³ +x B) Find the…

A: See the attachment

Q: %3D 5. Find (f g)(2) if f(x) = x+ 2 and g(x) = x2+4x +4. O (f-9)(x) = + 2 O (f 9)(a) = +2 O (f 9)…

A: Given function are f(x) =x+2 and g(x) = x2+4x+4, we have to find the value of (f·g)(x).

Q: If g (x) =3x²– 4x+5 ; G(x)=x³ – 2x²+ 5x , then G is the anitiderivative of f . A True False Question…

A: Topic = Integration 1) TRUE 2) FALSE

Q: Q14- If f(x,y) = 2xy - x² Iny- 2y² + 3x + 4, then axy is : for the function

A:

Q: 7. f(x) = (x + 3)(x – 5)(x – 2)(x + 6)

A: Explanation of the answer is as follows

Q: 23) The domain of f(x) = Vx + 3 is

A: Consider the function