Q4) Given the function: (x² + y² fx,y (X, Y) = x² + y? < 4 %3D 8 0, eslewere Then P{2 < X² +Y² < 3.2} = %3D (A) 0.12 (B) 0.39 (C) 0.5 (D) 0.61 (E) 0.88

Q: Which cube root function is represented by the graph? y 41 1 4-3-2 O1 2 3 4 x -4 432 234

A: A.  f(x)=x+43+2         On putting value x=1 we will get, f(1)=1+43+2…

Q: f(x) = - 4x-1 and g(x) = x- 4. nd (fo g)(6). en (fo g)(6) = : (Simplify your answer.) %3D

A: follow next step

Q: | g(x) dr = 15, find / [3f(x) + 5g(x)] dr. If f(x) dx = 28 and If %3D %3D

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Q: Suppose: h(x) = 4x3 + 5x2 +2 and f(x) = 3x- 5 %3D %3D 9. Evaluate h(1) = 10. Evaluate f(1) = %3D 11.…

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Q: Pls help ASAP

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Q: Given f (x) = – 1) x- 1 find f(2 a) %3D (x² + 2)

A: Given function

Q: Let f(x) = x and g(x) = 6x – 15. %3D Find the following: (a) f(3) + g(3) = i %3D (b) f(3) g(3) = i…

A: topic - functions

Q: Let g(t) -t+ Vt and h(t) = 9t + 4. Find the following. %3D g(h(5)) = h(g(4)) - eSC 14

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Q: Let f(x) = 1 and g(x) + 6. %3D %3D Then (f o g)(x) = (go f)(x) = |3D 4)

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

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: If f(x) = Vx+1 %3D 1 g(x) =- X+4 1 h(x) = - X Then find (fogoh)(x)

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Q: 18. Given f(g(x)) = 2x² + 2x + 5 and g(x) = 3x + 1. Find f(x). %3D %3D

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Q: Given f(x) = 5x - 30x + 49

A: We Know that,  The quadratic function f(x) = a(x - h)2 + k where a not equal to zero, is said to be…

Q: ) If f (x) = x +5 and g(x) = x2 - 3, find the following: %3D 1) f(f(x)) 2) g(f(x)) 3) f(g(x)) 4)…

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Q: 3x Determine the domain of the function h(x) = x(* - 25) , x *

A: Given query is to find the domain of the function.

Q: (153) (b) Let g(x) = 2***. Find gs"(x). II

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Q: Differ entiate he ff 4. Purdut Rule sluct ) f (x) = x³(3x+2).

A: Product rule of differentiation: If p(x) and q(x) are two functions of x, then…

Q: Q3/ Find flt) foreach of the followi functionss a) F(S) = t) Fis)- 565+ l12S+ 5000 F(s) F(S) = S(S+…

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Q: Over a seven day period (0 <t <7), the number of harmful bacteria in a sample of water from your…

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Q: For #8,9: Let f(x) = x² + 4 and g(x) = 2x – 5. (4 points each) %3D 8. Find (f +g)(2) 9. Find (fg)(3)

A: Given-  f (x) =  x² + 4 g (x) =  2x - 5

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: The range of the function f(x, y) = 4 – V4 - x² - y is [2, co) (-00, 2] (-0, 4] [2, 4] [4, c0)

A: Range of a function:The set of all possible values of y after substituting all the possible values…

Q: Explain why the function f(2) = 2:² – 3 – ze² + e¯² is entire? %3D

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Q: [4 Let A = * 1. Find f (A), where f(x) = 2x3 + 3x2 + 4x + 5

A: Answer

Q: a. Find h(k(- 2)) b. Find h(k(x)) c. Find k(h(- 2)) d. Find k(h(x)) 3. Consider the functions, m(x)…

A: In this question we will use basic of calculus i.e concept of composite function. We will simply…

Q: 1) = 2 – E 4x and g(z) = z +

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Q: f(x) = 3(8x – x2)/256 for 0<x. Determine P(2<X<4) %3D

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Q: 3. For the function f (x) = 4x2 – 25, a) find f(-1) - %3D %3D b) find all x when f (x) = 0

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Q: x2 dx 00 (x2+a²)(x2+b?) %3D b-a á 0

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Q: Let f(r) = 1+VI-1, then f-'(x)= Select one: O a. (z – 1)2 +1 O b. (r- 1)2- 1 | O c. (r+1)? – 1 С. O…

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Q: (x)6q %3D 11b. g(x) = Jx+2 – 2; x = -2, -1, 2, 7

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Q: (6) (x)어

A: we have been given f4(x)=(x2+1)2 we have to find the value of f6(x).

Q: 1. Let f(x) = 3x2 and g(x) = x – 2. a) Find (fo g)(x). b) Find (f o g)(1). c) Find (g of)(x). d)…

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