In Exercises 27-34, let f(x) = x? – 2x and g(x) = x – 5. Find each of the following. 27. (f + g)(x) and (f + g)(-2) 28. f(3) + g(3) 29. (f - g)(x) and (f - g)(1) 30. f(4) – g(4) 31. (fg)(-3) 32. ()u) und ()e) (4) 33. The domain of f - g 34. The domain of -

Q: In Exercises 7-10, evaluate each function at the given values of the independent variable and…

A: Detailed solution is given below.

Q: Let f (x) = x2 - 3 and g(x) = 2x + 1. Find (fg)(2). 2) ***HINT: Start by first finding f (2) and…

A: The given functions are,

Q: Let f(x) = x² - 6x and g(x) = 4 - x². ▪ (f+g)(4) = (f-g) (4) = (fg)(4) = (4) (4)

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Q: 10. Let f(x) = 3x+ 5. Find each of the following. f (x+h)-f(x) a. Find f(x+h) b. Find f(x+h)-f(x) C.…

A: Finding value of function

Q: 2х - 3 f(x) x - 4 a. f(0) b. f(3) c. f(-4) d. f(-5) e. f(a + h) f. Why must 4 be excluded from the…

A: Given function is f(x) = 2x-3x-4 a. f(0) f(0) = 2×0-30-4           = 0-3-4           =-3-4…

Q: In Exercises 13-17, let f(x) = x2 + 4x and g(x) = x + 2. Find each of the following. 13. (f + g)(x)…

A: The given function is fx=x2+4x and  gx=x+2

Q: Find the simplified difference quotient for each function listed. 46. f(x) — тх + b 47. f(x) = ax? +…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: use the functions f (x) = 3x2 - 5x,g(x) = 6x - 4, h(x) = 5 - x3to find the following.

A: Given :          f(x) = 3x2 - 5x,  g(x) = 6x - 4 and h(x) = 5 - x3

Q: 7. g(x) = -x2 +1 al

A: Given, g(x)=-x2+1

Q: 1 may be viewed as a composite function h(x) = f(g(x)). Find f(x) and g(x). The function h(x) = (7x…

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Q: For f(x) = x2 +3 and g(x) = x² - 7, find the following functions. a. (fo g)(x); b. (g o f)(x); c.…

A: f(x)=x2+3 and g(x)=x2-7

Q: -4x+12 ifxS-8 For the function, f(x)= 5 if-8<x<5.find the following. if x25 (c) f(-4.3) (1(6) |-(0)…

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Q: find 1- 2x f(x). 3 12). f(-2), f). fla), f(-а). f(la — 1)

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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)…

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Q: Given the following two functions, is f(x) - g(x) = g(x)-f(x) true for all functions? f(x)=x²-9,…

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Q: Given f(x) = 4x+ 6 and g(x) =-5-3x. 1. Find f(3) %3D

A: Topic - functions Take x=3 in f(x) to find f(3)

Q: Find the value of f(7). y = f(x) 10 8 4 -10 -8-6 -4 -2 2 4 8 10 -4 -6 -8 -10 6. 2.

A: Given that: Graph of f(x) To Calculate: Value of f(7)

Q: The function f(x)=0.5(2)xf(x)=0.5(2)x represents the growth in square centimeters of a fungus after…

A: Please see the below picture for detailed solution.

Q: Simplify the expression 2а? + 9х + 4 x2 + 8x + 16 22 + 2х — 8 2x2 – 5x + 2 - - and give your answer…

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Q: I. Let f(x) = x + 2 and g(x) = x² + 4x+4. Perform each function operation and then find the domain…

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Q: For each pair of functions, find f(g(x)) and g(f(x)). Simplify your answers. 1 7 1 2 21. f(x)== -₁…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: Find f. g, g. f, and g . g. f(x) = x2, g(x) = x - 1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 5. If f(x) = (r+ 1)(x-2) x-2 and g(x) = x+1, does f(x) = g(r)? Explain.

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Q: III. Subtract the first function from the second function. 1. f(x) = 2x + 1 and g(x) = 3x - 4-X-5 2.…

A: Quetion III,Part 1,Given,            fx=2x+1 and gx=3x-4To find ; Substract the first function from…

Q: 1. f(x) = 9-6x 2. g(x)= a. f(-1) a. g(2) b. f(1) b. f(a+b) c. f(3 + x) c. g(2 -x)

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: lf f(x) = 1-3x and g(x) =x² + 1, find the following. 15. f (-2) = 2 16. g (2) =2 17. g (3) - f2) =…

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Q: Use the table of values to evaluate the expressions below. f(x) | g(x) 8 1 7 7 9 3 2 4 6 9 4 8 1 0 5…

A: The given table of values, x f(x) g(x) 0 8 1 1 7 7 2 9 3 3 2 4 4 6 9 5 4 8 6 1 0…

Q: B. Given f(x)= 4x + 3, find f(x+h)-f(x) 1. f(3) 2. f(-3) 3. f(a + 1) 4. f(x + h) 5.

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Q: 4. If f(x)= A. and g(x)=2x-1, find (f - g)(x). -8 +&-8 B. -2+6+1 C.-2²+bx − 3 D. 2x³ + 6x+8 *-3 *-8

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