The inverse of the function f(1) is f-(z) =. %3D O (5z – 9) (1+1) O (5x – 9) (5 – z) (1 – z) (5z +9) (5x+9) (1 – 2) D (5z + 9) (1+x) |

Q: Suppose f(x) = 5x 6 and g(x) = vx² – 4x + 8. %3D - - (f o g)(x) = (f o g)( – 5) =| %3D

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Q: 5. g(x) = x² - 1 and n(x) x² + 2x +1 IV. Find the product of all given functions. 1. 2. x=3 x²-x-6…

A: Note: As  per our guidelines we are supposed to answer only one question if there are multiple…

Q: A new fast-food firm predicts that the number of franchises for Its products will grow at the rate…

A: We use substitution method to solve these integration

Q: g(x) = x³ + x? - 8x- 12 f(x) = x² + 4x +3 %3D h(x) = x² + 3 %3D s(x) = x² - 3x

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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: H.w Exl Let f(x)= 4x+2X+243and go)=3x+3x+3xx +4, where 2. t. f(x),900€75LX] Compute POX) +g (x).and…

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Q: Consider f (x) = ka + 3 and g(x) = 22 - 3x +2. If f (g(-1)) = 9, then k = If f (z) = and g (z)…

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Q: Consider the functions, h(x) = 3x – 7 and k(x) = . b. Find h(k(x)) X+7 | a. Find h(k(- 2)) c. Find…

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Q: (d) Compute P(x 2 2).

A: Given that  X~Poisson(μ=6) Probability mass function of X is  f(x)=μxe-μ/x!  , x=0,1,2,3,____

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

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Q: 2x – 3 Зх + 1 If f(x) and g(x) find (g – f) (x). %3D X - 4 x - 3

A: Given functions: fx=2x-3x-4gx=3x+1x-3

Q: Let f(x) = 2x2 - 1 and g(x)= 1 + x². Find (f o f)(x). O x* +2x² +2 4 O 4x4 – 4x2 + 2 | 4 O 2x* + 4x²…

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Q: For items 1 - 2. Let f (x) = 3x² + 9x – 3 and g (x) = 4x³ – x² + 4x – 9 %3D 1. Determine (f – 9) x.…

A: We know, f+g x = f(x) + g(x) f-g x = f(x) - g(x) fg x = f(x) g(x)

Q: x + 3 -dx х — 1

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Q: If S(16x* – 16x³ + 4x²)dx = F(x) + C, then F(x) = 16 A 5 B (4x²– 2x) 3 16 5 3 16 5- 4,3-4

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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…

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Q: 2. Find (fo g)(x), (g o f)(x) and the domain of each new function. a. Let f (x) = 4x² – x + 10 g(x)…

A: Here, we have given some functions and we have to find composite function and domain of these…

Q: Suppose f(x) = - 2x + 3. Compute each of the following. f(4 + 6) = f(4) + f(6) = %3D f(4 6) = f(4) –…

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Q: 4. f(x) — бх — 4 X бх — 4 f(x)

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Q: The polynomialf(x) = x² + 4x – 2x3 – 1 is a. Nested form b. Linear C. Cubic d. Quadratic

A: The degree of a polynomial is same as the highest power of the variable present in the polynomial.…

Q: If x? – 2x – 3 = (x+ A)² – B² , then the value of Bis %3|

A: Given that   x2-2x-3=(x+A)2-B2,  we have to find the value of B. To solve the problem we first…

Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =

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Q: . Let f(x) = x² + x + 3, g(x) = 5x + 3 and h(x) = 2x² – 4x + 1. Find the following: d. (fo h)(-5y)…

A: Composition of the function

Q: Suppose f(x) = - 3x+5x + 6. Compute the following: %3D a) f( – 4) + f(2) = b) f( – 4) – f(2) =

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Q: Let f(x) = 2x + 8, g(x) h(x) — 3х — 6. = x + 2x – 8,and Perform the indicated operation. (Simplify…

A: Given that fx=2x+8,gx=x2+2x-8 and hx=3x-6To find :f-gxSolution :f-gx=fx-gx=2x+8-x2+2x-8…

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) = x³ + x + 4 and g(x) = 2x + 3 in zg[x]. Then, upon dividing f(x) by g(x), we get The…

A: Given that,  fx=x3+x+4g(x)=2x+3 Are in Z5x

Q: Let f(x) = 3x – 1, and g(x) = 64x3 – 27. Find (fog)(x). a. 192x3 – 28…

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Q: Suppose f(x) = – x + 1. Compute each of the following.

A: Given,           fx=-x+1

Q: f(x)%3D4×+2x2 - x³ for -5 <x s 5. |

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Q: Let f(x) = 6x – 10. Find each of the following: %3D f(a) = %3D 2f(a) = %3D f(2a) = f(a + 2) = %3D…

A: We have to find function value

Q: Find (f - 9)(ӕ) if f(«) — 4г? — 5ӕ + 8 and g(z) — 203 + ӕ - 2 O (f - 9)(2) = 6æ² + 4x 6 (f - 9)(x) =…

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