1. Match each equation with the most suitable grapi. reasoning. a f(x) = 2(x + 1)'(x - 3) b) f(x) = 2(x + 1)°(x – 3)? c) f(x) = -2(x + 1) (x – 3)² d) f(x) = x(x + 1) (x – 3)(x - 5) %3D C 个y 30 -4 -2 -5 20 4 10 10- -4 -2 4 -15 -10 -20 30 20 -4 -2 10 -10 -4 -2 0 -10- -20- 2 -30 -20- 4.

Q: For the function h (x) = (2x + 1)° find two functions, f and g, such that h (x) = f (g (x)). O a) f…

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Q: 3 find the values of B. Given the following functions: f(x) = 3x + 2; g(x) = 3x² + 2; and h(x) %3D…

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Q: y = x10 + x3. Find y5) (1)

A: Given,           y=x10+x-5

Q: In(y) + 2x + In(x) 2 3

A: We need to isolate the y terms, in the given equation,…

Q: 8. Given: f(x) = x - 2 and g(x) = 2x + 3 Find: a. (f + g)(x) b. (f - g)(x) c. (f · g)(x) d. (fo…

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Q: S (et +3e²x) dx 2x 5+4et-e²x

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Q: If ​f(x)= 2x2 −5x+3​, find f′(3).

A: To find f'(3)

Q: 1. Simplify the following. a. f(x) =2x - 3 -2(5x-4) b. f(x) = (4x 2 - 5) +(-2x²+3x-5) c. A(r) -…

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Q: 2x - 2x2-3 dx - Find 4 x* + x²

A: To evaluate: ∫2x3−2x2−3x4+x2dx Let, I=∫2x3−2x2−3x4+x2dx ⇒I=∫2x3−2x2−3x2x2+1dx

Q: Find f′(x) and f′(c).

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 1. Given function f(x) = (2-5x)(x-6)(x+1), find (A) Degree of the polynomial, (B) Alla intercepts,…

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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: 6. Sketch f(x) and it's reciprocal f (x) = -2x -4 %3D %3D

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Q: Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) =x+ 10, g(x)=x- 10 (fo g)(x) = (Simplify…

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Q: 2. Let f(x) = 3x2 + 5x +1 and = 2x - 1. Flnd: g(x) a) (f + g)x b) (f g)x c) (fg)x d) g(f(x)

A: The answer is found in step-2

Q: 2x 4. Given the function F (x)= 3 do the following: 4.x +1 a. Find F-1 (x). b. Find dom F and dom…

A: Given,            The function is Fx=2x-34x+1.

Q: x-4 -dx x² – 5x +6

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Q: need

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Q: -4x + 5 and g(x) K5. Let f(x) a) Determine an equation for the function 2(x) 3D f(x) + g(x). Then,…

A: Given f(x)=-4x2+5 and g(x)=2x-3h(x)=f(x)+g(x)        =-4x2+5+2x-3…

Q: Use the functions f(x) = 2x + 5 and g(x) = 3x² to calculate each operation and simplify, if…

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Q: | (7x + 4) e dx

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Q: 3x2-2 6. Find (a). + 5e*+3 (b). z(3z² – 4)° dz dx x3

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Q: 5-2x 13. f (x) = 3+2x

A: Given: f(x)=5-2x3+2xwe know that defination of derivative is…

Q: 3. The company TClothing has figured its average cost (in $) of producing and selling x units of and…

A: The company TClothing has figured its average cost (in $) of producing and selling x units of…

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

A:

Q: 7. Given f (x) = 4 +3|2x + 4|, find f (-3). %3D

A: Given that f(x) = 4 + 3 |2x + 4| We need to find value of f(-3). Now, Put the value x = -3 in given…

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: xe 47. h(x) Rule %3D x + 1

A:

Q: (iii) ƒ dx a³ – 2x² – 7x–4

A: To Determine: Find the integral

Q: Given f ( x ) = x 3 − 3 x 2, find the y-coordinate of the y-intercept.

A: