For f(x) = 2x + 1 and g(x) = x² – 7, find (f- g)(x). %3D O A. 2x2 - 15 O B. -x² + 2x- 6 O C. - 2x - 8 O D. -x+ 2x+8

Q: 2. . If f(x) dx = 4 and 3g(x) dx = -9, evaluate [² [3f(x) + g(x)] dx

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

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Q: b) Given h(x) = 3x² + 2x and f(x) =- Vx – 2, find (h • f) (x + 2)

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Q: If f(x) dx = 31 and g(x) dx 12, find [4f(x) + 6g(x)] dx. %3D

A: See the details solution in below

Q: Which is true for the f (x)= (2x-4x)e A. f(x)=e* B. f(x)=e*-1 C. f(x)=e D. f(x)=e

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Q: 26. g(x) = 3x+ 4 %3D 5. f(x) = (x + 3)² – 5 for x<-3

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Q: f(x) = 7x + 10 g(z) = + 2

A: Given query is to find indicated function value.

Q: Given f(z) = 7x + 4

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Q: • 4x² If F(x) = e(5r²) dt, what is F'(x)? (Do not include "F'(x) =" in your answer.) 3x

A: If you like the solution then please give it a thumbs up.... The Answer is:           ∫3x4x2e5t2dt…

Q: c) f(x) = 2* + 2 for all x e R

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Q: Find the antiderivative of f(x) = x³ – 6x +7

A: fx=x3-6x+7 to find the antiderivative, we need to take an integration Fx=∫ fxdx

Q: (d) f(x) = ev4r+1 f'(x) = ,

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Q: 5x g(x) x2 C = 0 + 3x - 4 g(x) n = 0 8.

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Q: Suppose x E R. If x³ – 4x4 + 3x3 – x² +3x – 4>0, then x2 0. - |

A: Given that x∈ℝ. We have to prove the statement "If x5-4x4+3x3-x2+3x-4≥0, then x≥0" by using…

Q: 3 For the given equation f(x) = x³ +a2 %3D 6x + 10

A: f(x)=x^3+3/2x^2-6x+10 f'(x)=d(x^3+3/2x^2-6x+10)dx f'(x)=3x^2+3/2(2x)-6(1)+0 f'(x)=3x^2+3x-6 take…

Q: Given f(x) = x ^ 2 + 3x - 1 and g(x) = 2x + 1 ; what is (fog)(x)

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Q: If f(x) dx = 37 and g(x) dx = 12, find [4f(x) + 5g(x)] dx. %3D

A: Given : ∫06fxdx = 37∫06gxdx = 12

Q: The antiderivative of the function f(x) = x2 + 9x is. -5 + 18.0x? + c -5 4.5x? + c -9 + 2.5x² + c -5…

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Q: find the general antiderivative of f(x)=4x+7

A: Given : fx = 4x + 7

Q: d. (f/g) (x) f(x)=3x+4; g(x)=2x-3

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Q: For f(x, y) = 2x3 + x²y2 - 5y3 + 10,

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

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Q: If f(x) = 2x2 – 3x + 1 and g(x) = x + 5, what is f(g(x))? %3D - A 2x2 + 17x + 36 C 2x? – 3x + 6 B. B…

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Q: Find the antiderivative of f(x)=x3−6x+7

A: Given: f(x)=x3-6x+7

Q: What is the value of f(1) - 16B in ∫ x3 lnx dx = f(x) ( (1/4) lnx - B ) + C?

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Q: Find the antiderivative of f(x) f(x)=2sec2 (x)-3x-6

A: Given: f(x)=2sec2x-3x-6let the antiderivative of f(x) = F(x)then,F(x)=∫f(x)dx

Q: If f(x) = 5x4-2x³-x²+3x - 1, then | f'(0) = %3D d2 f(0) = dx f"(x)= d4 dx 4

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Q: If f(x) dx 38 and g(x) dx = 14, find [3f(x) + 5g(x)]dxr. Answer:

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Q: 2. For what values of x is y = 150x - 2x3 an increasing function?

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Q: n f(x)=6x– 2 and g(x)=x² – 3x – 4 , find (f•g)(x). | -

A: Given :          fx=6x-2gx=x2-3x-4

Q: Find the approximate value of f (3.02), where f(x) = 3x2 + 5x + 3.

A: Given

Q: Find fogo h. f(x) = x – 8, g(x) = /x, h(x) = x – 8 %3D

A: Given that: f(x)=x-8g(x)=xh(x)=x-8

Q: If f(x) dx о = 39 and д(x) dx 16, find [3f(x)5g(x)] dx.

A: The given values of integrals are,

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: Given f(x) = 5x - 3 and g(x) = x-, find g(f(2)). %3D

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Given f (x)= 2x +1 and g (s3)=x*+2x-1, find (I+g) (3).

A: (f+g)(x) = x2+4xexplanation is given below

Q: If FIX) is an antiderivative of x-2 + x1, then what is the value of F(1) - F(-1)? A) 3 (в) -2 -1

A: Solved below

Q: f(x) = (x² – 2x + 2)e*

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Q: With f(x) = 3x +1 and h(x) = 2x – 4, find (f o h)(5)

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Q: Given f(x)=x² + 5x + 6, what is (2+)-7 O² + 14h 02x+h+5 Oh+4 09+h equal to?

A: Put value in function and then solve

Q: If f(x) dx = 37 and g(x) dx = 14, find [4f(x) + 6g(x)] dx. %3D

A:

Q: If f(x) dx 39 and g(x) dx = 12, find [2f(x) + 3g(x)] dx. %3D

A:

Q: Determine the value of ∫k4 f(x) dx given that ∫49 f(x) dx=−9 and ∫9k f(x) dx=−3.

A: We have to find following definte integral .Information is given below:

Q: -10 If Lf'(x) dx = 7 and f(10) = -2, find f(-4).

A:

Q: A car purchased for $20,160 is expected to depreciate according to the formula  f(x) = −1920x +…

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Q: 5. For f (x) 3x 5 and g (x) 6 4x, find (fog) (x)

A: As per guideline we have to solve the problem

Q: For fx) = 2x+ 1 and g(x) = x2 - 7, find (f- g)(x). %3D O A. 2x2 - 15 O B. -x+ 2x- 6 O C. 2 - 2x- 8 O…

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Q: If f(x) = x²+4 and h(x) = 3x – 4, what is f(h(x²+4))? O9x*+68 O9x* + 60 O9x*+ 48x2+ 68 Oex*+ 48x? +…

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