5. The function f(x) is defined as: 4x3 +17x2 + 13x +36 x < -4 f(x) = x +4 5x2 + 2x + a x >-4 ontinuous for all values of x. What value of a will make this function continuous at x = -4? may support your answer with Desmos but must prove your answer with algebra.

Q: Match the piecewise function with its graph. (2x-1, if x-1 A) B) 8 -6 -4 -2 C) D) -4 -6 -4 E) AB) -6…

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Q: 2. Which of the following is NOT a root of the function f(x) = (x² - 36)(x+1)(x- 1)? A -6 B -1 C 1 D…

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Q: = · (x² + 2x − 12) (x³ + x² − 12x). If there is more than one answer, enter your answers as a comma…

A: The objective of this question is to find all the zeros of the given function. A zero of a function…

Q: A. f(x) = 3x² - 4 B. f(x) = x³ + 5x - 2 C. f(x) = 10x³ + 4x³ = x D. f(x) = 7x4 - 5x+8

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Q: Let f(x) = g(x) = x-5, k-(10) +7 = 10 and h(x): find: then Z= 4 c. (hof)(Z). (Z is the last digit in…

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: 4. Find the Factors of the function. f(x) = x* - x³ +3x? -9x-54 zero: x = 3

A: Given query is to find find the factors of the expression.

Q: Find the domain (in interval notation) of the following functions

A: Domain: Domain of a function is the set of values of x for which the function is defined and real.

Q: 2. Determine the roots of the following function and draw its graph f(x)=x^² - x³ - 16x² + 4x +48

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Q: Evaluate the following: 1. f(-8)= 2. f(-1)= 3. f(3) = f(x) = x² + 2x x + 8 if x -1.

A: Given: f(x)=x2+2x  if x≤-1x+8      if x&gt;-1

Q: Suppose that f(x) = 3x² - 4x + 4 and Find the following: 1. (fog) (6) = Number 2. (fog)(0) = Number…

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Q: Let f(x)=2x-1 and g(x)=x² + 4. Evaluate (gof)(x). (gof)(x) = (Simplify your answer.)

A: fx=2x-1, gx=x2+4

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: For the function f(x) = -6x² - 4x +4, evaluate and fully simplify each of the following. f(x + h) =…

A: Given query is to perform indicated function operations.

Q: Given that f(x) = 4x + 5 and g(x) = x² - 2x - 5, find (gof)(-7). (gof)(-7)= (Simplify your answer.)

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Q: An open-top box is to be constructed from a 4 in by 16 in rectangular sheet of tin by cutting out…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 3. Find all the zeros for: f(x) = x3 - 2x2 - 5x + 6

A: Given that, y = x3 - 2x2 -5x + 6 and we have to calculate the zeros of the function. We know that,…

Q: can you in more terms how you found the domain of f(x)

A: f(x)=e^(−15ln2x) Now, ln x is only defined when x is positive, i.e., iff x &gt; 0 In fact, in the…

Q: Use Descartes' Rule of Signs to determine the possibl f(x) = -6x²+2x²-9x-4

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Q: Let f(x)=x² -x+2 and g(x)=2x – 1, find each of the following: a. (fg)(x) and identify its domain b.…

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Q: Consider the following functions. f(x)  =  7x + 42 g(x)  =  x2 − 3x − 54   (a) Find (f/g) (x) and…

A: We have the following function- f(x) = 7x + 42 g(x) = x2 − 3x − 54 We know that fg(x) = f(x)g(x)

Q: For what value of x does the function g(x)=-1/3x3 +2x2  convex

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Q: Let f(x) = 5x2-3x and g(x)=6x+5. Find f[g(k)]. f[g(k)]= (Type an expression using k as the…

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Q: For what value of x does the function g(x)= -1/3x3 +2x2 convex

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Q: Let f(x)=√x and h(x) = Find f-h and its domain. Which of the following defines the function f-h? O…

A: The domain of a function y=f(x) is the set of all possible values of x for which f is defined.