Viultiple Answer- please choose all correct answers. Caution- No partial credit. Let f: R R where f(x)=x²+2. Which of the following are elements of f(2,11))? You are studying the inverse image of (2,11). 1 -3 -2 -1 2.

Q: 2 Given the functions f(x) = 3x - 2 and g(x) = x² + 1, find: a. f(x) + g(x) b. f(g(x)) c. (f - g)(4)…

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Q: 5. For what values of x will the function, f(x) = a) -6,0 b) -6, -3,0 x-3 x³+3x²-18x be…

A: Given :f(x)=x-3x3+3x2-18x

Q: 4x +3 Q10: Let f(x)= x+2 Show that f(x) is 1-1 function. Find D,, R,, and f(x).

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Q: 2. 2. If f(x) 2x + 3 and g (x) = x-1, then f g(-1) = %3D A. 3 B. -1 C. 2 D. 0

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Q: 8x+1 Evaluate f dx using algebraic substitution V4x-3

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Q: snip

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Q: 6) Let f(x) = 2x +4, and evaluate the expression below f(x + 3) – [f(x) + 3]

A: The given function is fx=2x+4 To evaluate the expression fx+3-fx+3

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

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Q: tind the Iinverse ) f(x) =5x-8 ® g@) = 2x-4 %3D こ gl6) = Vx+1+2 %3D

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Q: f(x) = 2x + 3 This is the given function. f(4) = 2 · 4 + 3 To find f of 4, replace x with 4. = 8 + 3…

A: Given function is fx=2x+3. To find f4. Solution: We have, fx=2x+3 f4 means to find value of fx at…

Q: Vx² + 4x – 5 dr. A secant substitution Evaluate x + 2

A: Consider the following definite integral: ∫14x2+4x-5x+2dx=∫14x2+4x+4-9x+2dx=∫14x+22-9x+2dx…

Q: Find the inverse of each function. 5) sl) --2x + 3 6) lx)-12 - 7x 4 7) h(n) – V-n – 2 8) g(x) – -1 +…

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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…

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Q: Find the indieatedd deriuative, ) for f(a) (x+3)(-4)

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Q: For f(x) = 5x - 3 and g(x) = 2x2 – 5, find the following functions. a. (fo g)(x); b. (g o f)(x); c.…

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Q: Find the inverse of the function. f(x) = 6x3 - 3 3 36(x+3) (x) = %3D 6. Additional Materials eBook

A: We will use the inverse function theorem to find the inverse.

Q: Answer: Answer: 9. Let f(x) = 3x – 2 and g(x) =-x+ 4. Find (fo g)(5). Answer: 10. Let f(x) = 3x+ 4…

A: To find: a) (fog)(5) b) (fog)(x) and its domain

Q: 9

A: We will find the difference coefficient.

Q: Identify and draw the domain of functionf(x, y) = 4-x² + 4y 2 2 In (9-x² - y2) 2

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Q: 2x+ 1 Let f(x) = Compute f (2). 3x - 2 O A. 0 O B. -2 OC. 1 O D. 1 3 O E. 2 3.

A: Just I have used the quotient rule of derivative and easily find the required solution. Option (B)…

Q: Let f(x)=x+2 and g(x) = 2x². Perform each fun then find the domain of the result. 8. (f+g)(x) 9.

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Q: 4. Given f(x) = x² +3 and g(x) = -3x + 11, find the following a. f(g(3))

A: Concept: Composition of function: A function is composed when two functions, f and g, are used to…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.