(1) For what values of x are the following functions continuous? Show work. (6 3x a) f(x) = 2cosx-1 b) f(x)=√√20-x-x²

Q: 15. Given the fumctions a(x) = x² + 2x- 1 and b(x), shown on the graph below, find P(x), where P(x)…

A: Given:  a(x)=x2+2x-1. b(x)=x+3. Determine the function P(x).…

Q: Consider the following functions. f(x) = x, g(x) - Vx- 6 Find (fo g)(x). Find the domain of (fo…

A: Given functions are fx=x2 and gx=x-6. To find: fogx and the domain of fogx. Solution: Finding fogx.…

Q: A bucket has a leak that started 6 hours ago. At time 0, when the bucket just emptied, a tap was…

A: Which option represents  the amount of water in the second bucket.

Q: Consider the following function: -{ ( 2x² – 10x + 4 if x < 4 = (x)f - 2x2 – x + 6 if x 2 4 Step 1 of…

A: Given function f(x)  To find the x-value where function is discontinuous.

Q: For what value of b is this piecewise function continuous? 8x +3, x < −6 7x+b, x ≥ −6 f(x) =

A: Please see the below answer.

Q: For what value(s) of x is f(x) = 3?

A: given :  f ( x ) = 3  find value(s) of x = ?

Q: find a so that the domain of the function f(x) = -5x +sqrt{a-x^2} is (-3,3) a. 3 b. 9 c. -9 d.…

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Q: Given y = f(x) = |x - 2| + |1 − 2x|-|1 - x. Write y as a piecewise function by showing your work for…

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Q: 2. Given that f(x) = 6 1-a find and simplify f 2²4) Show all of your work clearly.

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Q: For f (x) = x² + 6 and g(x) = V1 – x find the following values. a. (f + g)(x)

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Q: Give one way to restrict the domain of the function f (x) = X4-2to make the resulting function…

A: Given function is: fx=x4-2fx=x2

Q: Consider the compound function:             (x - 2)3 for x less than or equal to 2 h(x) =  |x| for…

A:

Q: Find the domain of the following function. (x – 6) (x – 4) f(x) = x + 4 If the domain contains more…

A: Given function is fx=x-6x-4x+4=x-6x-4x+4 the denominator of the function becomes zero when,…

Q: 8) The arerage f(x) is of the function 5x4 √√5 +1 what 2 on the interval [-1,1]

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Q: 2. Evaluate the function f (x) = x² - 3x + 12 at the following values or (a) f(-5) expressions. (b)…

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Q: Let f(x) = 7/2x -6. For what value of x does function f have the given value?  f(x) = 2/3 X= ?

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