2x 1. Let f(x) = x2 - 5. and g(x) 3x-4 d. Find (x)

Q: Differentiate

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: a) f (x) = v3 – 4x +5 b) ƒ (x) = 2/9 – x² c) f (x) = 1 x2 – 1 d) f (x) = 7x³ – x + 11 1 e) f (x) =…

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Q: 4. f(x) = x² – 1; c=-1

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Q: . f(x) = 5x + 2; g(x): -2) - f(x) =x - 7; g(x) = 2x + 14

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Q: f(x) 1 and g(x) = 2x 1 and h(x) = 1 4x-1 flglh(x)]] = -3 1 3 1 3

A: Use function property

Q: 2. If f(x) = -x² +2x+7 and g(x) = 5x+9, find f(x) +g(x). A x +7x+16 B x - 7x-16 C 10x+63 D -x +7x+16

A: We need Addition operation on these two functions

Q: F(x)=3x^2+2x-4-F(x)=

A: Given:The function is,

Q: 3. f(x) = ez* – x² – 1 (Xi = 5) ез || -

A: Here we use python to solve this problem.

Q: 19. f(x) : х — 2 x² - 4 20. f(x) = х — 2 (2r 15 if v-

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Q: 3x2+5x+8 Find f dy. (x-2)(x²-2x+5)

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Q: f(x) = x -5x+3; k = 2+ i

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Q: f(x, y) = e-(x²+y²)(3x² + y²) Calculate the extreme values of the function: = e-(x²+y²) (3x²+ y?)

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Q: 2 Find [f(x) + 5g(x)]dx if 2 |f(x)dx = 8 and / g(x)dx = -1. -4 [f(x) + 5g(x)]dx = i -4

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Q: 6.Given f(x)= 3x – 2 and g(x)= x2 – 5x, find f(-1)+g(2)

A: The given functions are: fx=3x-2 and gx=x2-5x To find f-1 replace x with -1 in fx=3x-2 and similarly…

Q: 4 – x2 - X 3 (2х — k+h

A: For continuity, we must have the left-hand limit equal to the right-hand limit at x=2 and x=3 For…

Q: Can you check it please?

A: To verify thesteps in the  simplification

Q: Graph the function

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Q: 2. If f(x) = g(x) × h(x) and f'(x) = -2(x – 7) + 1(-2x – 6) , find a possible equation for f(x)

A: see below the answer and explanation

Q: 3) f (x) -on| -1, 2]| x²+2

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Q: Graph each function.

A: The zeros of a function are the point where the function value is equal to 0. These points are also…

Q: Sx² +2x + 1 d. h(x) = 15x – 1 - VRIGH 3x + 2 e. f(x) = {x +5 x² - 5 x 4 A VI

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Q: Find [f(x) + 5g(x)]dx if 6. f(x)dx = 4 and g(x)dx = -5. juo 6. f(x) + 5g(x)]dx -3

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Q: 2 f(x) = √4-x² [-1,1] n = 4 a = -1 right left & middle hand rule b=

A: The given function is fx=4-x2 over the interval -1, 1. The number of subintervals is n=4.

Q: x+2 Determine the (x,y) location of the hole for f(x)=- x² - 4

A: Holes occur when a duplicate factor is cancelled in the numerator/denominator of f(x).

Q: 16) g(x) = 4x - 5 s(x) = x' + x² Find (g + f)(-2)

A: Given,      g(x)=4x-5      f(x)=x3+x2

Q: 16) Find (f • g)(x) for f (x) = 4x³ – 5 and g(x) = 2x. %3D -

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Q: 6x + 6 If f(x) = find: %3D 4x + 4' f'(z) = f'(3) =

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Q: 13) f(x) = 4x – 3 g(x) = 4x – 4 Find (f - g)(-1) %3D %3D

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Q: 4. t(x) = (x - 3)3 5. h(x) = -x² 6. f(x) = V=x 7. f(x) = 2x2 %3D

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Q: 20. f(x) = In x + 2e 3x2

A: Topic = Derivative

Q: Q. 4 Find the absolute maximum and minimum values of f(x) = x³ + 5x2 – 7x over the closed interval…

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Q: 29. f(x) = (x* + 1)-2 %3D

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Q: 8. Find (f+g)(x). f(x) = 5x² – 9x + 8 g(x) = &r2-7x + 2 A) (f+g)(x)= 13x - 16x + 10 B) (f+g)(x)=-3x…

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Q: h(x) = x4-x3 + 7x² - 9x-18 14 f(x) = x$ – 20x3 + 20x2 - 21x + 20 2nobuloe to 1odmun erd yluns

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Q: x²-1 3. f(x) = -1;ƒ' (1) 2x+1

A: Solution is given below:

Q: Graph the following functions.

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Q: (-x² +3, 3. f(x)={ Vx-3+1, x>2 %23

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Q: 7. Given f(x) = x² – 5x ,

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Q: 8) f(x) = 2x + 5; g(x) = 3x - 1 Find bo

A: Givenf(x)=2x+5g(x)=3x-1

Q: 10. Given the functions /(x) = 3x² + 2x + x+1 and g(x) = 2x² – 1, find (f - 9)x. a 3x +x b. 3x +x+2…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 2. f(x) = - 2x + 6 g(x) = - x/2 + 3

A: Given: fx=-2x+6 gx=-x2+3 fgx=-2-x2+3+6           =x-6+6           =x gfx=--2x+62+3…

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: b. Given f(x) = 3x + 2, g(x) = 2x² – 4x and h(x) = x-x+ 7, find (g + h) (-1/2). %3! %3D

A: Given: f(x)=3x-2, g(x) = 2x2 -4x and h(x) = x2 -x+7 To find: g+hf-12 This can be defined as follows:

Q: Q 2/ find the value of (k) to continue the function (Vx+1-V2x f(x)= x2-x x = 1.

A: For continuity of function  Lim of f(x) at x=1 should be equal to k

Q: (a) yaf (x)-2x+1 (b) y-g (x)-(5 for x>0 (-5 for x <0 (0 for x-0 (c) y-h (x) -x+1

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Q: V4 - x 8. g(x) = at x = 0 %3D

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Q: 19.yf(x) = 2|x – 1|; f(-2). f(0), f(¿). f(2), f(x + 1), f(x² + 2)

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Q: 4) f(x) = ! g(x) – - - - 3

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

A: f(x)=-4x+6g(x)=x-6

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

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