For Exercises 61–66, fill in the blanks and determine an equation for f(x) mentally. 6 from x. 62. If function f multiplies x by 2, then f 61. If function f adds 6 to x, then f Function f is defined by f(x) = x + 6, and function f is defined by fx) = -1 by 2. Function f is defined by f(x) = 2x, and function -1 f is defined by f'(x) = 63. Suppose that function f multiplies x by 7 and subtracts 4. Write an equation for f(x). 64. Suppose that function f divides x by 3 and adds 11. Write an equation for f(x). 65. Suppose that function f cubes x and adds 20. Write an equation for f'(x). 66. Suppose that function f takes the cube root of x and subtracts 10. Write an equation for f(x).

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: What value of x makes the relation {(1,5), (x, 8), (-7,9)} a function?

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Q: If Function A is a Cubic Function, with the points (3,26) (2,24) (4, 24.8) and (2.75, 25). Determine…

A: The objective of this question is to determine the cubic function A that passes through the points…

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A: Consider the equation

Q: 6. Given the function f (x) = x² + x - 3, find f (x + 1) 7. h(x) = 2×+ 1, find h(3) 1 8. Given f (x)…

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Q: Exercises 121–140: (Refer to Examples 12–14.) Complete the following for the given f(x). (a) Find…

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Q: 3. If f(2) = 3, g(3) = 2, f(3) = 4, and g(2) = 5, ƒ [(f • g)(3)]. %3D

A: Given: f2=3, g3=2, f3=4, and  g2=5

Q: When F(x, y, z) = , evaluate - F( - 4, 4, – 2)

A: Given statement is When F(x, y, z) = < x², z+x,y> evaluate F(-4,4,-2)

Q: Differentiate the function. (2x+5) y= (5x+1) 3 기 dx 11

A: Given:       y=2x+545x+13 differentiating with respect to x Apply the quotient rule:…

Q: Determine a function question

A: Given: x y 2 -2 5 19 -3 3 7 43

Q: 5. Consider the statement "If a given relation, y = f(x), is a function, then its inverse y =…

A: Given statement,if a given relation, y = f(x), is a function, then its inverse y = f-1(x), is never…

Q: For Exercises 57–62, find and simplify f(x + h). (See Example 6) 59. f(x) = 7 – 3x 62. f(x) = x – 4x…

A: Hello! thank you for question but as per our honor code, we'll able to solve only the first question…

Q: In Exercises 1–6, find the domain and range of each function.1. ƒ(x) = 1 + x2     2. ƒ(x) = 1 - 2x3.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 4. Write the equation of each function. a) b) 个y 20 401Y 10 20 (1, 8) -2/9 +10- (1,-12) 20 -4/-2 0…

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Q: 2. State the domain of the function. x² -3x +2 a. y=- x-4

A: The objective of the question is evaluate the domain of the given function.

Q: Does the table represent a valid function? Explain why

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