Let f(x) = 3x -2 and let g(x) = 5x + 5. Find f(x) - g(x). %3D %3D Type the coefficients in the blanks: -2 X+-7

Q: If f(16x*- 16x³ + 4x²)dx = F(x) + C, then F(x) %3D

A: Formula:∫ xn  dx  = xn+1n+1 + C   Integral:I=∫ (16x4-16x3+4x2) dxI=∫ 16x4 dx -∫16x3 dx +∫ 4x2…

Q: find asfog) () 6) (gof) () f(e) = 2x-6 %3D g (x) = 3x-) ニ

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Q: 3) f(x) =9x/チxー3 %3D

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Q: f(x) = 6v4 + 3x2 find f(2) %3D

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Q: Find x. Then, find LM. K 4x - 2 3x + 3 X = LM = %3D

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Q: f(x) = - 4x* + 2x +5 %3D

A: Problem related to derivative application

Q: f(x) = – 0.5x2 – 3x – 4?  Find the end behaviour

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Q: f(x) = x- 2x+4. Find kth)-fx) ん

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Q: f(x) = 5x² + 2 %3D g(x) = x + 7

A: Given, f(x)=5x2+2g(x)=x+7We have to findf(g(x))

Q: х+ 3 f(x) %3D x2 - 9

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Q: f(x)=6x-4 and g(x)=2x2+5, find (gof)(x)

A: To find: The value of g∘fx. Given: The functions are fx=6x-4 and gx=2x2+5. Formula used: The…

Q: f(x) = (2x – 3)²

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Q: f (x) = x²ex3-I

A: Given:        f(x) = x2 ex3-1

Q: 16. f" (x) = x² + p3 %3D

A: The given function is f''x=x2+x3. The function f(x) can be obtained by integrating the given…

Q: f(x) = x³ – 4x

A: b. Consider the given function, fx=x3-4x EVEN FUNCTION A function y=fx is said to be an even…

Q: f(x) = {k(6x (6x + 2x³) 0 Find the value of k. 0≤x≤B otherwise

A: Solution is  given below

Q: f(x) = 2x³ – 2x² – 4x %3D |

A: Differentiate the given expression:                                      f(x)=2x3-2x2-4x   To…

Q: 6x-7 f(x)3D 5x +x2+1

A: The given function is

Q: f(x) = (2x - 21) /x² - 9 %3D

A: f(x)'=d{(2x-21)√(x^2-9)}/DX  f(x)'=2√(x^2-9)+(2x-21)2x/(2√(x^2-9))

Q: 4. f(x) = 3x - 6 %3D 4

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Q: find f [g(x)] and g[f(x)] .

A: Given function are: fx=-8x+9gx=x5+4 The objective is to find f [g(x)] and g[f(x)] .

Q: If f(x) = 3x and g(x) = 2x – 3, find (fg)(-1). %3D

A: The given functions are, fx=3xgx=2x-3 We need to find the function, fg-1

Q: F(x)=8+2x

A: Given information: F(x)=8+2x

Q: f(x) = 5x + 7

A: We can find the inverse function as below.

Q: f(x) = x2 – 2x %3D

A: we are given with function f(x) Shaded region comes below the x intercepts  So lets find x…

Q: f(x) = 8Vx + 1; g(x) = x² + 9 %3D

A: Given: - The functions are, f(x)=8x+1 and g(x)=x2+9 To find: - The value of f∘g and g∘f

Q: g(x) = 4x² – 3x + 7 %3D Find g(3)

A: SOLUTION-

Q: f(x) = 2x - 5 and g(x) = x^2 + 2, find the (fg)(x)

A: Solution:Given     f(x)=2x-5   and     g(x)=x2+2To find (fg)(x)Formula:(fg)(x)=f(x)g(x)

Q: Differentiate.

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Q: f(x)=x^2+7x and g(x)=9x+1 (fog)(x)= (gof)(x)=

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Q: Find fg.f(x)=5-x²,g(x) = x² + 4x – 12 (fg)(x) = x - 4x³ + 17x2 + 20x -60 (fg)(x) = - x*- 4x3 + 17x2…

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Q: f(x) = x'- 12x + 2 3

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Q: g(x) = 4x² – 3x +7 %3D - Find g(3)

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Q: f(x)=3x^2+9x+6

A: We have to find the nature of the given function

Q: Find the number of units x that produces a maximum revenue R. R = 66x2 − 0.04x3

A: Explanation and solutions is given below....

Q: Find zeros of the function: x² – 16 f(x) = 3x + 2

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Q: f(x)=2x+4 (x<-1)

A: Given , f(x)=2x+4   x&lt;-1let y=f(x)⇒y=2x+4⇒y-4=2x⇒12y-4=x  ..............................(1)the…

Q: f(x) = 2x² +5x -3 %3D

A: On simplification, we get

Q: f(x) = V3x-12 %3D

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Q: g(x) = 3x2 + 12x + 1

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Q: g(x)= {Vx-4 ifx24 [4-x %3D if x <4 8(-3) b. g(13) a.

A: Given: gx=x-4  if x≥4 4-x  if x&lt;4 To Find:  To evaluate the following.a g-3 b g13

Q: f(x) = 2x3 + 3x2 + 1 %3D

A: Absolute maximum: - The absolute maxima of a function throughout the whole domain is known as the…

Q: Find gf(2) when f(x) = 6x² and g(x) = 4x+4 %3D %3D

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Q: f(x)=-x^2+4x-4

A: Explanation and solutions is given below.....

Q: f (x) = -x2 + 8x – 16.

A: Consider the graph of the equation y=-x2+8x-16,

Q: f(x) = x³ – 3x2 + 3

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Q: f(x) = x² + 5x - 1

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Q: Find g(4) and fg(4}). fx) = x-x+2 g(x)%3D3X-5 g(4)%3D|

A: Given functions, f(x)=x2-x+2g(x)=3x-5