9. If f(x) = x² + 2x and g(x) = x + 1 find the answer of the following operations ( a) f(x) - g(x) b) f(x).g(x) 9. If f(x) = (x+1)² and g(x)=x-3 state domain and range of f(x) + g(x) and f(x) - g(x). ( 10. Draw the graph of y = -2(x - 2)³ + 3 based on the power function f(x) = x³ determine the domain and range of y=-2(x-2)³ +3.

Q: 5. g(x) = x² - 1 and n(x) x² + 2x +1 IV. Find the product of all given functions. 1. 2. x=3 x²-x-6…

A: Note: As  per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find f(x) and g(x) such that h(x) = (f o g)(x) and g(x) = 3- 5x. h(x) = (3 – 5x)³ – 2(3 – 5x)² + 5(3…

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Q: 4. Find (f-g)(x) if f(x) = -2x + 4 and g(x)=x²-3x+5. O (f-g)(x) = -x²+x-1 O (f-g)(x)=x²-5x +9 O…

A: Topic - Functions We are givenf(x)=-2x+4,g(x)=x2-3x+5

Q: Find a function f(x) so that h(x) = (gof)(x) given that -2x³ – 6x² 6x² + 5x+1 and g(x): = h(x) =…

A: (g∘f)(x) = g(f(x))

Q: 1146 x 8.2 = With explanation

A: Multiply a decimal number by a whole number

Q: Find f(x) and g(x) such that h(x) = (fog)(x). 4 h(x) = (6x+3)* Choose the correct pair of functions.…

A:

Q: 3. Solve f(g(-2)) if f(x): and g(x) = 8 + 5x 3 + 2x

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Q: L 1. Find (f. g)(x) if f(x) = x²+2x+4 and g(x) = -2. O (f.g)(x)=x³-4x²-8x+8 O (f.g)(x)=x³+4x²+8x-8 O…

A: Find the (f•g)(x)

Q: Let f(x) = 4+ (5x +9)³. Find f¹(x) = (1) · (√(x − 4) – 9) Find (ƒ(2)) -¹ = (¹) · (√(x-4) – 9)

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Q: Suppose f(x) = 9x 9 and g(x) x2 + 5x + 8 (f o g)(x) = %3D

A: f(x)=9x-9g(x)=1x2+5x+8f ο gx=f(g(x))put x=g(x) in f(x)

Q: 4. If f(x) = x² + 2 and g(x) = 2x − 1, what is (fog)(x)? (A) 4x² - 4x +3 (B) 4x² + 3 (C) 4x² - 4x +…

A: Detailed solution will be given below

Q: If f(x).= x³+3x k is divided by (x +1) and the remainder is 12, then - k = -8. True False

A: Given :fx=x3+3x-k*Remainder theorem; - If a polynomial f(x) is divided by x-a then the remainder is…

Q: 1. Iff(x) = 2x² + 3x + 5 and g(x) = 4x + 3, find x if 4g(x) = f(x)

A: Given:  and To find: The value of , when .

Q: 1 Let f(x) = x²-3x+2, g(x) = and h(x)=√1-x. Find f( - 6), g(-6), h(-6), h(a), and h(-x).

A: Let's evaluate the functions step by step. Given Functions 1.f(x)=x2−3x+2 2.g(x)=x​1​ 3.h(x)=1−x​…

Q: Given f(x)=x²-1 and g(x) = √2x + 2 Which of the following have the same domain? Select all that…

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Q: 10. (a) Describe the transformations of y = x³ into the function f(x) = 8(x-1)³ -5. = (b) Describe…

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Q: Find f-1 (x) for f(x) = 7x + 4. O 1-²=-²/x-1/ O f¹(x) = -7x+4 O---- O f-¹(x) = -7 x - 4

A: For finding the inverse of a function replace all x with y and all y with x and then solve for y.

Q: Given f(x) = 1 + 6x – x? and g(x) = 4x + 1

A: Given: fx=1+6x-x2  and gx=4x+1 To find: f+gx

Q: f  f(x) = (1 − x)2 and g(x) = 9 − x,  find f(g(x)) and g(f(x)).

A: Composition means that you can plug g(x) into f (x). This is written as "( fog)(x)", which is…

Q: If  f(x) = (1 − x)2 and g(x) = 6 − x,  find f(g(x)) and g(f(x)). f(g(x))  =        g(f(x))  =

A:

Q: . Let f(x) = x2 + x + 3, g(x) = 5x + 3 and h(x) = 2x2 – 4x + 1. Find the following: a. f(4x) b.…

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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)…

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Q: Let f(x) = 4x + 5 and g(x) = 5x² + 2x. After simplifying, (fog)(x) = =

A:

Q: If f(x)= variable. x+3 Select one: a. and g(x)=x-3, find g(f(x)) and state the restrictions on the g…

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Q: Let f(x) = x² + 4x and g(x) = 2x+6. Find each of the following. You do not need to simplify but can…

A: