a. f(x + y) = (7x+7y,2x+2y,-7x-7y-2) f(x) + f(y) = (7x,2x,-7x-2) + (7y,2y,-7y-2) Does f(x + y) = f(x) + f(y) for all x, y ER? No, they are not equal b. f(cx)= (7cx,2cx,-7cx-2) c(f(x)) = c 7x,2x,-7x-2 Does f(ca) = c(f(x)) for all c, xR? No, they are not equal c. Is f a linear transformation? f is not a linear transformation v

Q: If fx) = 2x3 - 4x2 + 2, and %3D g(x) = x - 2x2 - 2x+ 4, then f(x) - g(x) = es 4) A) x3 - 2x2 + 2x- 2…

A: here option A is true

Q: 7) f(x) = x² – 3.x; Find f(-8) |

A:

Q: If f(x, y) = 1 then 3(3x–2y) * is given by: | O None of these 4 (3x-2y)3 (3x-2y)3 - (3x–2y)³ 4 -…

A:

Q: (5 + y)(4 + y) = (6x + 2y – 4) + (2x + 2y + 10) = (x – 3)(x + 3) =

A:

Q: (2x)(x-y+5)(5y)

A: Firstly, we multiply 2x by each term of x-y+5

Q: The derivative of f(x) 4 (x2 + 3x) is O -4x3 (2x + 3) -4x 2(2x + 3) 4 O 4a-2(2x + 3) 4.x + 12

A:

Q: 31. Evaluate

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Q: Need help with this two part question please.

A:

Q: If f(x, y) = 7(92-67, then 1 9(9x-6y) ' is given by: 18 (9x-6y) 12 (9x-6y)3 18 (9x–6y)³ 12 (9x-6y) O…

A:

Q: f f(x) = 4x + 5, what is the value of fl-3)? 1) -2 (3) 17 2) –7 (4) 4

A:

Q: Find (f 9)(x) if f(æ) = –5æ² + 2æ + 7 and g(x) = x + 1. O (f 9)(x) = 5x + 7 (f 9)(x) = -5x + 7 O (f…

A: Given fx=-5x2+2x+7 and gx=x+1

Q: If f-1(15) = 3, Which of the following can be f (x)? a) f(x) = V5x +1 b) f(x) = 7x -5 c) f(x) = x3 -…

A: We will use concept of function and inverse function.

Q: (e) 7 x² 3x2-6x x²-4x+4 (f) 1−4+1/2/2

A:

Q: 5x and g(x) x + 3 z +1 If f(x) = then (f o g)(x) is 6x 5x + 3 19α+3 5x + 5 19x +1 5x +1 19x + 1 5x +…

A:

Q: 77°F Sunny Which of the following functions could make the graph 27 18 16 14 12 10 N. Of(x) =…

A: Graph of a polynomial function

Q: If f (x) = 5x2 2a + 7 and g (a) = -2x2 + 6x + 3, then f (x) - g (x) = %3D

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

Q: Find the x-intercepts of the polynomial function. (Hint: Find the Zeros) f(x) = (x + 1)(2x - 6)(x -…

A: To find the x-intercepts of the polynomial function. f(x) = (x + 1)(2x - 6)(x - 5)f(x) = x3 - 4x2…

Q: If f(x, y) then is given by: 7(7x-6y) 12 (7x–6y)3 12 - 3 (7x-6y)³ 14

A: we will partially differentiate the function twice

Q: If f(x) = x*(3x + 2)°, find f(x). O x(3x + 2)7(11x + 8) O x³(3x + 2)7(36x + 8) O x³(3x + 2)7(20x +…

A:

Q: (x+2)(y-2)=(x-9)(y+5)

A: Open the bracket, we getxy - 2x + 2y -4 = xy +5x - 9y -45

Q: (x + y + z)(3x - 2y - z)

A: we have to solve: (x + y + z)(3x - 2y - z)

Q: 2. If f(x)=((-4,4)(-3,0)(-2,8)(-1,-2)(0,-4) (1,5)) and g(x)=((-3,0)(-1,6)(1,-4) (3,-2)), determine…

A:

Q: If 6x° +x*-y? 3x² +y? if (x, y) (0, 0) f(x, y)= if (x, y)= (0, 0) then f,(0, 0)=

A:

Q: If fx) = (1 - x)² and g(x) = 3 - x, find fg(x)) and g(fx)). fg(x)) = g(fx)) =

A:

Q: If f(x) = - 3/2 and g(x) x + 2 2x² 3 6x + x² 3 6x + 1 1 2x + x² x + 6 2x² = X + 1, find (-1)(x) (x)…

A:

Q: If f(x) = x + 2 and g(x) : then (fo g)(5) is x + 4'

A:

Q: 2. Find f(g(5)) if f(x) = 2z + 5 and g(x) = 3x2 %3D O f(g(5)) = 675 O f(g(5)) = 155 %3D O f(g(5)) =…

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Q: f(x) = 4 − 2x/(x + 1)(x + 3)(2x + 1) = A/(x + 1) + B/(x + 3) + C/(2x + 1) find the values of A,B,C

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Q: fiof)(x) =3 (3x+4) + 4 (2 X=4) +1 2

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Q: S(x) = and g(z) - 2 +3 a +1 , then (fog)(x) is 4x

A:

Q: uation of the tangent line to ƒ at x = 1.

A: Given that: The equation is f(x) = x2+3x .

Q: Find fof where f(x) = 3x 5 and f: R R. - O al f(f(x)) = 9x – 20 O b f(f(x)) 9г? — 30х -25 Oo f(f(x))…

A:

Q: 2. If f(x) = x² + 4x + 6, which of the following is equal to f(x + h)? (A) x² + 2xh+h² + 4x + 4h + 6…

A:

Q: A group builds racing drones. An examination of the data shows that it costs C(x) = 0.0014x² +…

A: