2² +x-12 a Given f (x) = g (a) = x² +6x+5 x² +3x-18' find (fg) (0)? x2 -1 3 10 10 3 10 10

Q: 59. f(x) e(x) 2x +5 3. 2x + 1' 2r +18x) 2r 63. f(x) = Vx +1, gx) -3x - 4 61. f(x) 2x 65. f(x) = (xl,…

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Q: General and particular solution of y'+ 2xy = 0 if f(2)=3

A: Given differential equation is y'+2xy=0. To find general and particular solution if f2=3. Solution:…

Q: f(x) = 4x + 6x² – 360x + 2 is decreasing on the interval ( ). It is increasing on the interval (-o,…

A: Follow next step

Q: 8. g(x) 4 6. h(x) 3 4- 3- 2- 17 4 X-values 2 3 4 X-values 9(x) h(x) If f(x) then 6. f'(3) = y-values…

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Q: x - x +2 4. If flx) =x + 7 find f'(x) . (5x - 1) (3x²) (A) (x' + 7)(5x - 1) – (x° – x + 2)(3x²) (B)…

A: The given function is  f(x) = x5-x+2x3+7

Q: 5+ g(x) 7- h(x) 6- 5+ 4- 2 2- 1 1 X-values X-values g(x) If f(x) then h(x) f'(4) = 4. 3. 4. y-values…

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Q: F(x)=2x-5 & g(x)=3x+4 solve for (g o f)(x)

A: Givenf(x)=2x-5,  g(x)=3x+4

Q: f(x) =x - &r +4 g (x) = 4x – 3 h(x) =x+2 1) (+g)(x) = 2) -h)(x) = 3) (hg)(x) =…

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Q: -3 f( x = 3 – 2 e7, — 2 е -3 18 12 - е z 1. Find domain of f(x)

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, hut…

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Q: 6. f(x) = x* – 3x³ + 2x2 – 5x – 7 at x = - 1 8. f(x) = V3x - 10 at x = 2 10. f(x) = 6x –6 at x = 0

A: For function to be continuous  at a point x=alimx→af(x) =f(a)6) f(x)=x4-3x3+2x2-5x-7    at x=-1…

Q: .2 x -4 x + 2 f(x)={ x-2 at the point x = : 2 5 x = 2 |1-x, x 1

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Q: f(x) = 2x + 5 g(x) = 3x – 5 and h(x) = 2x + 3 2 x Find:- i) f(-4) = ii) g[f(2)] = iii) f[g(-3)] =…

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Q: f(x) = ^(4x+6), g(x) = ^(4x-6) Find (f+g)(x) ^ means square root

A: Given that: f(x)=4x+6g(x)=4x-6

Q: 5 f(1) + 5 g(9) = 8+ 6- 4+ 2+ y=g(x) 一ェ 8. -8 - -4 人6 -4+ 64y=f(x) -8 .

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Q: 8) g(x+ 1) h) f(5x – 3) + g(3x) i) Find x, if f(x) = 40 i) Find x, if g (x) = -2 %3D ©OOC amazon

A: (g)  g(x) = x² - 5x + 3 So, g(x+1) = (x+1)² - 5(x+1) + 3 = x² + 2x + 1 - 5x - 5 + 3 = x² - 3x - 1…

Q: X x-6 (a) f(x + 1)) 7. f(x) = 8. [x²-3, x≤-1 x + 4, x>-1 g(x) = (a) g(-2)) (b) f(0) (b) g(3) (c)…

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Q: 1) f(x) = |x], g(x) = -|x| + 3 2) f(x) = VF g(x) = V-2(x + 3) 3) flx) = |x| g(x) = 3|x + 2| 4) f(x)…

A: Topic- function  Note- : as per our guideline we have to answer only first three subparts because…

Q: 4 f (g(x)) = (3x² – 2x + 4)6 f (g(x)) = (x)(x² + 3)² - 5.

A: We have to find derivative of given function.

Q: 32) f(x)=3– 2 34) g(x)=(x – 1)³ +2 - 1 36) f(x) = I+1 38) f(x)=- 4 - 2x +1 40) g(x)=- %3D 3

A: Given ,f(x)=3-2x5That is ,y==3-2x5A function g is the inverse of function f if for y=fx,  x=gy…

Q: 3 x + 3 ' 7. f(x) = x + 2x - 3, 3 2 8. f(x) x-3 x-2’ 6. f(x) = 1 -- = g(x) : - x - 1 g(x) = 3 = g(x)…

A: We can find the value of 'x' for which f(x)=g(x) . Note : As per our Guidelines we can solve first…

Q: Evaluate the function at the indicated values.

A: Given that fx=1-2x3                                  ……(1)   (1) Put x=2 in equation (1), we get…

Q: In Problems 6–11, find the domain of each function

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

Q: 6x 24x - 6x is g'(x) = * is R'(w) = 4. The derivative of g(x) (2-x)2 4w5+4w3-6w²+3 2-x 5. The…

A: 4) Given:       gx=6x22-x      g'x=6·ddxx22-x                =6·ddxx2·2-x-x2·ddx2-x2-x2…

Q: 4 If f(x) = ln(2x² – 3) then f'(x) =? - 2x a) 2x2 – 3 - 4x b) 2x2 – 3 2x c) 2x2 + 3 -4x 2x2 – 3 -…

A: f(x) = ln(2x² - 3) So, f'(x) = 1/(2x²-3) × (2x²-3)' So, f'(x) = 4x/(2x² - 3) .... Option (b)

Q: -T<x<0 | find b let f (x) =. x2 0<x<n .a (-1)"(2–n²n²) – 2 | n³n .b (-1)"(2–x²n²) n3 .C (-1)…

A: The solution is given as

Q: & 5 im 4 32 1 -2 0-3 -4 im →-1- f(x) = f(x) = _m f(x) -1 - − 1) =

A: Topic:- calculus

Q: x2 22-23. Find the derivative: y = x-11 22x A) (xー11)? B) (x-11)2 x2-22x C) (xー11)? x²+22x D)…

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Q: 3. f (x) = x+2 %3D So Domain Range 4. f(x) = x2 + 2 fl-

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Q: (CLO-2) Find the linear approximation, L(x), to f(x) at x = xo - f(x)=√√6x+64, x = 0 O L(x)=-x-3…

A: Given f(x)=√(-6x+64)  We hav eto find the linear approximation of f(x) at x=0.

Q: (x)=5x2−7x g(x)=8x−9 k(x)=x2−7x ​(f + g​ - k)(x)=

A: Given  f(x)=5x2−7x g(x)=8x−9 k(x)=x2−7x To find  (f + g - k) x

Q: 5 Find (f(x) + 5g(x)]dxif -5 5 5 | f(x)dx = 8 and g(x)dx = -4. -5 -5 5 f(x) + 5g(x)]dx = i -5

A: The given integral values,∫-55fxdx=8 and ∫-55gxdx=-4

Q: 3. f(x)=; X+5 X-4 4. f(x)= |x-1| Find (a) f(-3) Find (a) f(-1) (b) f(-3) + 4 (b) f(-1) + 2 (c)…

A: Given functions:- 3. fx=x+5x-4 4. fx=x-1

Q: 8. f(x) = 2x + 4 g(x) = x- 7 h(x) = 9- x Find g(h(2)) * %3D -8.

A: Consider the given function:

Q: 1. f(x)= 4x – 3 2. F(x) = /1+x 3. G(x)=|1 – 2x| 4. h(x) - х* +3 х?- 2х +1 5. f(x)= X-1

A: We have to find domain and range of given functions.

Q: h(x)=-x+3 g(x)=-x 2 +3x Find h(-3) + g(-3)

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Q: Graphical Reasoning Use the graphs of f andf −1 to complete each table of function values.

A: Given two graphs of f and f-1, we need to complete the table. From the graph it is easy to find…

Q: 4. f(x) = a = 0 x2-4x %3D x2+4x x?-3,xミ-1 5. f(x) = {x- 1, x>-1 こa=-1 %3D

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Q: f(x)= -4x g(x)=3x-2 h(x)=x^2-6x. solve: f(x)+g(x)

A: To find the f(x)+g(x)

Q: f(x) = 5x -6 g(x) = 7x+ 12 h(x) 6x2 - 13x - 19 j(x) 3x2-x+ 26 k(x) = 11x – 9 m(x) = 8x2 - 13x - 34…

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Q: 2 + x², -2 <x< 0 1. f(x)dx; f(x) = -x + 2, 0<x<4 -2 2

A: Given query is to find the value of the integral.

Q: f)-\2+1 x>-5 3x-2 xS-5 find f(-5) and f(3). x +1 x>-5

A: For f(-5)    at x=-5  first function is given so put x=-5  in first function. And for f(3)   it…

Q: 5х + 4, x < 0 f(x) 5x + 8, х2о (а) f(-1) (b) f(0)

A: In this question we will use basic of algebra i.e finding vale of function at a point. we will…

Q: 1 g(x – 2) (x – 4)(x + 2) ii) 2(Vx² – x + Vx – 8) 2 iv) g(x² + 6)\F(-x) = x2(x + 1)2

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Q: x+3 Jika fungsi f(x) = ***, maka f-(x) = .. 2 A. 2x + 3 В. 2х — 3 x+3 С. 2 c. ** D. -x+3 2. E.

A: The given function is, fx=x+32y=x+32 To obtain the inverse first step is to interchange y and x.…

Q: 3x and g(x) = x +1 If f(x) = I +3 then (fo g)(x) is 4x За + 2 13x +2 on 3x +3 13x +3 3x + 5 13x + 5…

A: We have to choose the correct answer

Q: f(1-3/x)dx3= X +2x/x + C X-2x ex2+1 of X-2x/2 x(1-2/x) +C x(1 לx-

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Q: 2/3 x>0 a) f(x)=- .1/3 x < 0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1. Find fog. f(x) = -4x + 6 A) (fog)(x) =-5x B) (fog)(x) =-4x² + 30x – 36 C) (f•g)(x) =-4x + 30 g…

A: Given : fx=-4x+6  gx=x-6

Q: 2) f(x) = x + 5 glx) = -x - 5x Find f(g(-4))

A: