2x + 1 xp- (3x – 1) (x² + 2x + 2) Evaluate: (A) F (x) = 2 In (|3x – 1|) – In (x² + 2x + 2) +4 arctan (x + 1) +C 10 (B F (x) = 2 In (|3x – 1|) – In (x² + 2x + 2) – 4 arctan (x +1) +C %3D 10 (c 2 In (|3.x – 1|) + In (x² + 2x + 2) + 4 arctan (x + 1) +C F (x) = 10 D 2 In (|3x – 1|) + In (x² + 2x + 2) – 4 arctan (x + 1) +C - F (x) = 10 E None of the given choices

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A:

Q: If  f(x) = 3x + 1  and g(x)=4/x.find f(g(x)) and g(f(x)).

A: Given f(x)=3x+1 and g(x)=4x we have to find f(g(x)), g(f(x))

Q: For f(x) = (x + 3)*(x – 6)³(x + 5), list each real zero and its multiplicity.

A: Given function is f(x)=x+34x-63x+5

Q: f ( x ) = 5 x + 2 at x = 7

A: Given: f ( x ) = 5 x + 2     To determine: value of f(x) at x = 7 i.e, f(7)

Q: If P(x)=x2+x+3 and Q(x)=5x2−1​, find Q (1/4)

A:

Q: Let f(x) = 4+ (5x +9)³. Find f¹(x) = (1) · (√(x − 4) – 9) Find (ƒ(2)) -¹ = (¹) · (√(x-4) – 9)

A:

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A: Consider the function:

Q: f(x) = xv3+ 2 (-2)

A: Given: fx=x3+x2

Q: Let P(x) = ax² + bx³ + x +1 where a and b are real numbers. Find values of a and b such that P(2i) =…

A:

Q: Of (x) = (4x-6x* + 4 3 3 Of (x) = x* – 2x³ + 5 Of (x) = x* – x³ +4 6 ,3 %3D f (r) – 2r4 6r3 1 8

A:

Q: х3 (2 — х?)1?dx x3 dx 1 — 2х2 1 x²dx Vx2 + 4

A: ∫un du = un+1n+1+C ∫a2+x2 dx = xx2+a22+a22sin h-1x2+C ∫1x2+a2 dx = sin h-1xa+C

Q: Let f(x) = x2 + 2x – 1 and g(x) = 2x – 4. Find 2f(x) – 3g(x). 2x2 — 2х — 14 -3x2 – 2x – 1 Option 1…

A:

Q: 8x2

A:

Q: Give the domain for t(x)= x+1/x2-3x-18

A: Given function is,

Q: Find all the inflection points of f(x) = x4 – 2x3 – 12 – 5x2 - - -

A: The given function f(x)=x4-2x3-12-5x2

Q: FCX) = 3-2x², Findand simPlify FC

A: We have to find

Q: Show that x + 5[x²] is 0(x²).

A: This is a problem of complexity.

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…

A:

Q: Find f(g(-5)), if f(x) = „4 and g(x) = (x+ 4)² O -7/9 O -7/3 O 2/9 O 1051/81

A:

Q: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: x(t-1) * 6[t+1] equals x(t+a) where a equals. Answer:

A: Given, x(t-1)* del(t+1) = x(t +a)

Q: Find f-1 (x) for f(x) = 7x + 4. O 1-²=-²/x-1/ O f¹(x) = -7x+4 O---- O f-¹(x) = -7 x - 4

A: For finding the inverse of a function replace all x with y and all y with x and then solve for y.

Q: Let f(x)=2x+1 and g(x)=2x2-1 a. f(t+1) b. f[g(-2)]

A: Givenf(x)=2x+1 and g(x)=2x2-1

Q: −5x – 5, f(x) = 2x² + 2x - 1, x < -1 x ≥ −1

A:

Q: Let f(x) = 3 In ((0+1) 2x 2-25)-In(2(0+1) x-10): a. Simplify f(x) b. If f(x) = 4, find x.

A: Use the following properties of the logarithmic function to simplify this equation. ln a-ln b =…

Q: Let f(x) = 9x +3 f f '(x) =

A: Given a function. We need to find its inverse.

Q: 1 Let f(x) and g(x) = 4x + 5. - 4 | Then (f o g)(6) (f o g)(x) =

A: The solution is given below :

Q: Find In such that: F(x) = x²³-8x²+ 9x +18=0

A: The given polynomial fuction is