We can find (fg)(-2) using the fact that (fg)(-2) = f(-2)· g(-2). f(x) = x² + x f(-2) = (-2)² + (-2) = 4 – 2 = 2 g(x) = x – 5 g(-2) = -2 – 5 = -7 Thus, (fg)(-2) = f(-2) •g(-2) = 2(-7) = -14. We could also have found (fg)(-2) by multiplying f(x) · g(x) and then substituting -2 into the product. We will discuss how to multiply expressions such as x2 + x and x - 5 in Chapter 5. I

Q: f''(x)=8x−3f′′(x)=8x-3 and f'(−3)=−6f′(-3)=-6 and f(−3)=−3f(-3)=-3.

A:

Q: 3) A)-V2-a-2 3a.) (r)D 3b.) N(-2)-2 3c.) fxth)-f(x) 12-x+h) =D72-(x) (Jz-Cth)+

A:

Q: A store is deciding what types of fruit to stock nearest to the registers. They can either stock…

A:

Q: g(x) = 3x^2-2x h(x) = 3x + 3 Find (4g-2h)(1)

A: We have to find 4g-2h1 when g(x)=3x2-2xh(x)=3x+3 Here, gx=3x2-2x4gx=43x2-2x=12x2-8x and,…

Q: f(x)= 2x+5 3x-2 -19 (3x-2) f(x)=-

A: SOLUTION-

Q: (f) X- x2+23 = 4 X2+2x3 =4 %3D 2x1 + 3x2- X3 = 1 7x + 3x2 +4x3 =7

A:

Q: If f (x) = 4x + 3x2 - 5x +20 and g (a) = 9x - 4x2 + 10x- 55, what is (g-f) (x)? 13x – a2 + 5x – 35 A…

A: See the details solution in below

Q: х g(x)= x-x-2 %3D .2

A:

Q: 2. -1 2 f(x) -5 1 3 1 -5 A. y = 3x2 -x + 1 B. y = -3x? + x +1 C. y = 3x² + x -1 D. y = -3x + x – 1

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: -3x +4, x <-2 18. If f(x) = {,2 - 2, x2-2 find f(-2). A. -6 B. 2 C. 10 D. -2

A:

Q: Maximise Z = 5x1 + 6x2 Subject to X1 + x2 0 and integer

A:

Q: g8 + 3x² – 9 ÷ (x+3)

A:

Q: y = x²-1, stretched vertically by a factor of 3 is a) y = f(x) (b) y = (C) y = f(3x) (d) y = f(x) +…

A: Given,           The function is y=x2-1.

Q: a) xin x-x Q3. If f(x)=x+2e b) 2 b) 4xln x-4x then find ¹)'(2)= c)-2 b) 2 d) 1

A:

Q: Find fg.f(x)=5- x²,g(x) = x² + 4x – 12 %3D fg)(x) = x - 4x³ + 17x² + 20x – 60 %3D (fg)(x) = -x*- 4x3…

A:

Q: السؤال الثاني |4-x Vx-1 Find the domain of y = - 2 3+x| x+5

A: We have to find the domain of y=4-x3+x-2-x-1x+5 For domain x≠-3, x≠-5 and  x-1≥0⇒x≥1 And…

Q: Find the axis of symmetry of: x² - 2x -15. • x = -1 • x = 0 • x = 1

A:

Q: Find g(5a – 2) + 3g(2a)if g(x) = x² – 5x + 8 - -

A: Given: gx=x2-5x+8 Finding the value of: g5a-2+3g2a       -1

Q: The revenue from sales of x units of a product is given by R(x) = 125x-0.01x, and the cost of…

A:

Q: A store is deciding what types of fruit to stock nearest to the registers. They can either stock…

A: Let's find maximum potential revenue fruit.

Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: C(4x – 2x2) 0 < x < 2 - f (x) = otherwise

A:

Q: Q4) Find the linearization of: f(x) = x³ + 10 when a = -3

A: l(x)=f(a)+f'(a)

Q: During a nationwide program to immunize the population against a new strain of the flu, public…

A:

Q: f(x) = 2x - 5 and g(x) = x^2 + 2, find the (fg)(x)

A: Solution:Given     f(x)=2x-5   and     g(x)=x2+2To find (fg)(x)Formula:(fg)(x)=f(x)g(x)

Q: e-7x - 2e3 et f (x) = e- *+16e10* + 2e-4z

A: (a) Consider the provided limit, limx→-∞e-7x-2e3x-exe-x+16e10x+2e-4x Evaluate the provided limit.…

Q: S2x – 4 x² - 2 find: (a) f(0) if -1 sxs2 if 2 <xs 3 If f(x) (b) f(1) (c) f(2) (d) f(3)

A: As there are multiple sub parts a), b) and c)  are solved here.

Q: 2. f(x) = x² - 5x + 6 A. x = 1 B. x = -3

A: This is a problem related to limit and continuity parts of the calculus. Based on the general…

Q: 3x1 – 2x2 + 2x3 = 0 6. Solve *1 + 2x2 – 3xz = 0. by Cramer's rule 4x1 + x2 + 2xs = 0 -

A:

Q: X-2 9) f(x) = %3D x2 - x - 30

A:

Q: 2. f(x) = x2-5x +6 A. x= 1 B. x=-3

A: A function is an expression which gives output values for each input values . The set of input…

Q: Find fg.f(x)=5-x²,g(x) = x² + 4x – 12 (fg)(x) = x - 4x³ + 17x2 + 20x -60 (fg)(x) = - x*- 4x3 + 17x2…

A:

Q: g(x) 4x-3 and h (x) = 3x+4 g(n(-2)) then what is

A: The functions gx=4x-3 and hx=3x+4 then we have to find gh-2.

Q: [ 1-x+2x²-q³ -d.x 6. x(x²–1)²

A:

Q: Find h'(-3) if h(x)=4g(x)-5f(x), f(-3)-7,and g'(-3)=-2. Oh'(-3)-0

A:

Q: 2. f(x) = x2 - 5x +6 A. x 1 B. x =-3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Q2/ Max and Min F= 2X1+ 5 X2 using graphical method: X1+2X; < 60 Xi+X; 2 30 X1-2X; 20 X1, X; 20

A:

Q: F(x)= 3x^3 + 2x + 3/x^2?   then F'(2) is?

A:

Q: x²-12px%=D6p(x-22 %3D 2.2.1 5a2 -2'5 b2 -5(a²-5b²) ー4 (at2) (x +2) %3D 2.2.2

A:

Q: g(x) = 4x + 4 f(x)=x²-1 a. (gof)(x) b. (fog)() C. (gof)(-3)

A:

Q: g1 (x) -2 11 -1 8 1 -1 g1 (x) -2 -11 -1 -8 0. -5 1. -2 1 5, 2. 2.

A:

Q: g(x)= {Vx-4 ifx24 [4-x %3D if x <4 8(-3) b. g(13) a.

A: Given: gx=x-4  if x≥4 4-x  if x&lt;4 To Find:  To evaluate the following.a g-3 b g13

Q: c) (x+1)(4x- 3)- (x+1)(x² – 4)– (x+1)(x² +2x-3)

A: Solution to the given expression is given below

Q: G(x)=3/4t+2, find G-1(1)

A:

Q: Given that 6g(x) + xsin(g(x)) = 10x2 - 9x - 9 and g((3)/(2)) - 0, g' ((3)/(2)). g'((3(/(2)) =

A: Given that, 6g(x) + x sin(g(x)) = 10x2 - 9x - 9 Differentiating above with respect to x we get, 6 .…

Q: Z-y+2x = 5 X+y-z = -2 2y + 2z -x =1 What is the value of x?

A: Explanation of the answer is as follows

Q: g(x) = 4x-3 and n (x) = 3x -4 %3D then what is g(n(-2))

A: Given g(x) = 4x-3 and h(x) = 3x-4 We have to find gh(-2).

Q: F(x) = 2x^3 -11x^2 -7x+6 and X=-1 is a solution,

A: Put value in function if get 0 then this the solution

Q: f(x)=20x2-7x    g(x)=11x-9 (f o g) (2)

A: