Refer to the following functions: p(x)= x² + 2x - 15 x+1 q(x) = x-3 r(x) = √7-x Which of the following statement/s is/are true? i. The composite function roq results to r(g(x)) = O ionly O ii only iii only O i, ii, and iii 6x-22 x-3 and is defined for all x>3. ii. The resulting function of the product of p and q is x² +6x+5 and it is defined for any real number x iii. The difference quotient? p(−2+h)−p(−2) = h− 2 is defined for any real number h except 0.

Q: Write the following functions in the form p(x)/q(x) for polynomial functions p and q. a) f(x) = 2 −…

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Q: Refer to the following functions: p(x)=x²+2x-15 x+1 q(x) -- r(x) -√7x Which of the following…

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Q: 2) a. Show that the function f(x) = A x x – B is injection function. b. Find the inverse of the…

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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: 13x + 7 is x – 3 The domain of the function f(x) OR-(3}

A: The domain of a function is defined as the set of all input values for which the function is…

Q: Refer to the following functions: p(x) = x² + 2x 15 1 x+1 q(x) = X 3 r(x)=√7-x Which of the…

A: We will verify all the given statement utilizing given three functions and then will conclude about…

Q: Evaluate the following expressions given the functions h(x) = 1¹/2/2 g(x)=-3x+1 f(x) = x² + 7 Find x…

A: we have to find x values for given function values.

Q: Refer to the following functions: p(x) = x2 + 2x – 15 x +1 9(x) x-3 r(x) = v7-x Which of the…

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Q: Consider the following function: | 4x 9z -19 1 -1 -9z 19 f(2) = 3 13 0 0 0 a) What is the highest…

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Q: Which of the following correctly describes the function f(x) = 4x4 – 32x³ + 89x2 – 95x +29? none of…

A: The given function is fx=4x4-32x3+89x2-95x+29. This is a problem related to function. Based on the…

Q: The multiplicity of the zero 3, in the function f(x) = x²(x+3)²(x-3)³, is Select one: a. 3 b. 0 c. 2…

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Q: a. Determine whether f(x) = 5/(x+1) is a one-to-one function from R to R, if not, give a counter…

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Q: Determine the value of f(-3) for the function f(x) 00 O Undefined 3 B O 15 O x³ +18x²+104x + 192 for…

A: I am attaching image so that you understand each and every step.

Q: Given functions f and g, find fg. f(x) = 7x+2, g(x) = 4x + 5

A: we are given two functions and we need to find out the product of the functions.

Q: f(x) %3D — х3 + х2 — 8х + 4 1. 3.

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Q: Given the functions f(x) = 4x + 10 and g(x) = √√x + 2, what is the value of a for which f(g(a)) = 10…

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Q: 9) Evaluate the piecewise function for x = -1 and x = 4. 2x + 1 if x 2 h(-1) = h(4) =

A: To evaluate the piecewise function for x=-1 and x=4.hx=2x+1  if x≤2x2-4  if x>2h-1=?h4=?

Q: The function given below is discontinuous at x = x+2x-24 f(x) = *+6 O -6 O 6 O 4 O 4

A: Solution

Q: The function given below is discontinuous at x = %3D +2x-24 f(x) = x+6

A: The solution to the given question is explained below.

Q: Consider the following function: 4x 9x -19 1 -9x 19 -1 f(x) = 3 9. 2 13 0 0 1 a) What is the highest…

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Q: Determine algebraically whether the following functions are odd, even, or neither. x? a) f(x)=- x*…

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Q: 4x + 5 + 5x² – 3 x>5 g(x) =' h(x) =Vĩ - 7x x=5 9x? f(x) = 3x² – 5x +7 4х — 9 x<5

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