10.3.7. As usual let D8 g² = e, gf H = = = (a,b | a4 = b² = e, ba f2g). Let G {e} x D8 ≤ G. (a) What is o(x)? = (b) Find Hx. What is |G: H|? a³b) and D6 = D6D8. Let x = {f,g | ƒ³ = (f, a) Є G, and let Is H

Q: Let f (x) + 4. Evaluate f (-8). 2 (2 f(-8) = Number

A:

Q: 1. If f(x) =+1 and g(x) = 1-V2x. Find f-1? Check your answer ? Draw f and g? Check your answer ?…

A: We have to find inverse function

Q: 8) f(x)= x³ + x²; Find f(-6) 3120 - x; Find w(-4) 10) w(x)=-3x²- (2--2-2; Find 12) h(x) = 4x + 3;…

A: We can evaluate each of the function in the below steps.

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: x + 3 a. Given that f(x) + x*, write an expression to represent each of the following. 7 i. f(u + v)…

A:

Q: Let h(x) =x+9 and g(x) = x-3. Find (h-g)(0). Select the correct choice below and fill in any answer…

A:

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…

A:

Q: x-1 3. If f(x) = 2x + 1 and g(x) = , then f(g(x)) = ? 2 a. x-1 b. 4x+2 5x+1 C. 2 (2x+1)(x-1) d.

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Q: Let f(x) = g(x) = x-5, k-(10) +7 = 10 and h(x): find: then Z= 4 c. (hof)(Z). (Z is the last digit in…

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: Given f(x) = 2-4x | find f(-1). x-x+8 O A. . - | 16 OC. 16 - O E. - B. 114

A: We need to find value of f(x) at x= -1

Q: 4. Linear transformation L is given as L(x, y, z) = (2x + z, Y – 2, x+ y). Find LA, the matrix of L…

A:

Q: Which of the following is equivalent to f(x + h) – f(x) h for the function f(x) = 4-3x2? -6x 3h | 6x…

A:

Q: y = d(x) d. -10 -8-6- 2 4 6 8 -8 -10 d. Is the function above odd, even, or neither: 2.

A: The graph of the function is To determine: Whether the function is odd, even or neither.

Q: Find functions f and g so that f • g = H. 73) H(x) = (5 – 2x3,2

A: Given H(x)= (5-2x3)2

Q: C. Given f(x) = 3 – 2x – x2, Determine each of the following. a.) f(-6) b.) f c.) f(x²) d.) f(x – 1)

A:

Q: K 3. f(x) = = mt f(x) find a. 2 = (x) اسم - - () اسمر - ( ) اسمر 2 = = = (x) اسمر b. .. d.

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Q: = 4, fi(5) = -1, g(5) 2, and g (5) 25. If f(5) 2f(a) 3g(x) 3, find hi(5) if h(a) =

A: Differentiate the given function on both the sides with respect to x to get an expression for h’(x);

Q: For f(x) = 5x – 1 and g(x) = 5x2 - 1, find the following functions. %3D a. (fo g)(x); b. (g o f)(x);…

A: Given f(x)=5x-1 and g(x)=5x2-1fog(x)=In place of x of f(x) substitute g(x)fog(x)=f(g(x))=5(5x2-1)-1…

Q: Let f (x) = + 6 . Evaluate f(-6). 2 (2 f(-6) = Number || 1/2

A: Given f(x)=-1212x+6   To Evaluate f(-6)=

Q: - 5- 5"+13 in the form h(x) = (f o g)(x) where f(x) x and Express the function h(x) g(x) x. a) g(x)…

A:

Q: 2. Use the function f(x) = -3x + 7 to answer the questions. a. What is f(0) ? b. What is f () ? c.…

A:

Q: 8. Let f(x) = x² - 3x + 1 and g(x) 2x² + 5x - 3. a. Find f(x) - g(x + 2). Simplify as much as…

A:

Q: 5 Let f(x) = - and g(x) 7 Find each of the following: x - 8 b. the domain of f – g. | а. (f — g)(x)

A: Assign the function f=5x=5x-gxxAssign the function g=7x-8=5x-7x-8=-2x-40xx-8

Q: If f(x) = 2x2+x +1, and g(x)=x is an identity function then (f + g)(1) = O a. - 4 O b. -8 O C. 4 O…

A:

Q: For f(x) = 2x-5 and g(x) = x-2, find the following functions. a. (fo g)(x); b. (g o f)(x); c. (f o…

A:

Q: 4. What is the range of the function g(x) - 8-x in set notation? 10 8t D(x) 21 -2 -6t -10- а. у20 C.…

A: Here, the given function: g(x)=8-x Note that the domain is x≥8

Q: If f(x) = 2x + 1 and g(x) = x², Find g(ƒ(3)) a. 49 b. 19 a O b O O d C. d. 7 13

A: To find the value of the composite function g(f(x)) at x =3.

Q: 1) Find the following for f(x) = 2x +3 and g(x) = x² – 4. a. (f o g)(x) owing function b. (gof)(x)…

A: Use method to solve this