= Söf(t)d t, find g'(2) Y -2 8- 6+ 4 2+ (2)=4 2 4 st

Q: Determine b and c for the quadratic function f(x) = −x2 + bx + c where the y-intercept is 2 and it…

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Q: Find (f- g)(x) when f(x) = 7x - 8 and g(x) = 2x - 2. O A. - 5x +6 О В. 5х-6 ОС. 9х -10 O D. 5x - 10

A: fx=7x-8gx=2x-2To find:f-gx

Q: If f(x) = 2x²-2, then f(f(x)) = Select one: a. 4x4-8x²+6 b. 8x4-16x²+6 c. 4x4+6 d. 8x4+6

A: Here the given is

Q: Determine L-1{F} if -3s2 + 20s – 25 F(s) (8 – 3)(s² – 2s + 5)'

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Q: (D² + 4D + 8)y = 1 - 3x

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Q: What are x-intercepts of the function, -2(x – 6) + 3 = y O (-7.225, 0) and (-4.775, 0) O (-69,0) O…

A: For the x intercept,

Q: y + 8y – 9 0. y? - 5y + 4 .3 w3 – z 31. w2 – z? - 10t 20t - 40 34. 6t - 12 30

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Q: Find a. (f + g​)(x​)     b.​ (f+g​)(7​).   f​(x​)=3x2 - x- 5, g(x) = x – 1 ​   (f + g)(x) =…

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Q: If g(t) = -3t3 , evaluate g(4t).

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Q: y = /5 + x², y = 0, x= 0, x = 2

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Q: 2. Find f(-6) and g(3+7) if f(x)=2x-3 and g(x) = x² + 2x.

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Q: f(x) = 13x + 4 a.) f(-3) b.) f(4)

A: topic - functions

Q: is y=3x+4 a direct variation?

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Q: x = t3 + t2, y = 7t2 − 4, t = 2

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Q: () X3+ 2x2 t.

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Q: If g (t) = 3t2 + . then g (t) = 6 t 7x6 42t-8 6.

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Q: f(x) = 6x - 1 a. f(-1) b. f(-2)   A.-5,-11   B.-7,-13   C.6,12   D.-6,-12

A: The given function is fx=6x-1

Q: Find h(-2)         h(t)=t^2-4t+2

A: The given function, h is,

Q: 1/2 dr V1-r2

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Q: x - 3y = 1 2x – y = 7

A: Our Aim is to solve the given equations below:-x-3y=1 -(i)and 2x-y=7 -(ii)

Q: If the distance a train travels in a straight line is given by s(t) = 10t2 + 5t + 1 , where…

A: Given: s(t)=10t2+5t+1

Q: If r(x) -6x3 – 6x2 + 2, determine r(v²). Do not include "r(v-) =" in your answer. %3D %3D Provide…

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Q: 2 (D+3)²y=0

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Q: f -3 7

A: The given figure represents the function f(x) defined from the elemets of the set {-4, 6, 7} to {-3,…

Q: Let f(x) -x² + x. Let g(x) = 6x - 4. Find the following: (a) f(5) + g(5) = 56 (b) f(6) g(6) = 1344…

A: The given functions are f(x)=-x2+x,g(x)=6x-4 We have to find the a) f(5)+g(5)b) f(6).g(6)c)…

Q: Find (f.g)(-5) whenf(x)=-9x-9 and glx%%=D-8x2-8xtle

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Q: f(x) = 4x² – 2, g(x) = 4 – 3x, and h(x) = f(g(x)). Find h(3) a. -170 b. -102 C. -5 d. 98

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Q: (x + 2)³ y = (x² – 4) ||

A: a2-b2 =(a-b)(a+b)

Q: L3Q4. Find (f + g)(x), if f(x) = - 5x2 + 6 and g(x) = x2 - 6. A.- 4x2 B.4x2

A: To find f+gx, if fx=-5x2+6 and gx=x2-6.

Q: 3 40x4y² (g) 27xw4 (h) = 4 32x4y6z⁹ w²

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Q: Write an equation (second degree) satisfied by two functions f and g having the same derivative.…

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Q: Is (-2 , 2) a solution of y = 1/2x + 3 ?

A: The given equation is,

Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

A: Given that: (b) y=exx2(c) y=cosx2+1(d) y=2x2x+1 The quotient rule of derivative is…

Q: x2 – 3 f(x) = 3x +5 Select one: a. R\{-} b. R\{3} c. R\{o} o d. R\{}

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Q: (x² D² - xD + 3) y = x²(Inx)4

A: