21. Which of the following best describes rational function if p(x) and q(x) are polynomial functions? a. f(x)=p(x)•q(x) b. f(x)=p(x)+q(x) ç, f(x)=p(x)/(q(x)) d. f(y)=(p(x))/(q(x))

Q: The zeros of a function f(x) are 1 and 2, while the zeros of a second function g(x) are 3 ۷۷۷۱ and…

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Q: If ƒ (x) = x − 7 and g(x) = O(-∞, 4) 0 (-∞, 4] O (4,0) O [4,00) O (4,7) U (7, ∞0) what is the domain…

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Q: Q1. Let f(x) = V2-x,g(x)=/5+x, then find the following : (1) (F-g)(- 1) (ii) (iii) domain of…

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Q: Find a function f(x) so that h(x) = (gof)(x) given that -2x³ – 6x² 6x² + 5x+1 and g(x): = h(x) =…

A: (g∘f)(x) = g(f(x))

Q: Let f (x) y=x+4 y=x y=x+2 y=x-2 x²-x+4 x-3 . what is the equation of the oblique asymptote of f(x)?

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: nd a second degree polynomial function f2(x) with the following three properties (1) = f'(1) and…

A: Topic:- function

Q: 46.[14] For f(x)=x++1, g(x)=x-2, and h(x)=√x Find fogoh a. (fogoh)(x) = (x + 1)(x-2)√x b.…

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Q: 1. Let f(x) = x? – 1 and g(x) = x² +x – 6. (a) Find (f – 9)(x) (b) Find (x) and give its domain. (c)…

A: R is the set of all real numbers

Q: 1. Given function f(x) = (2-5x)(x-6)(x+1), find (A) Degree of the polynomial, (B) Alla intercepts,…

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Q: 4. Find the zeros of f(x) = x² + x – 3.

A: We know that, for a quadratic function fx=ax2+bx+c, the zeros of of fx is given as x=-b±b2-4ac2a…

Q: Let f(x)=√√4x + 7. Determine ƒ-¹(x) and the the domain of f-¹(x). ƒ−¹(x) = Domain of f(x) =

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Q: A. Given the function f(x) = 2x² and 9(x) = 3x + 1 find: 1. f(x) + g(x) 2. f(x) – g(x) 3. f[g(x). 4.…

A: Given -  To find - Find

Q: Find f(x) and g(x) such that h(x) = (fog)(x). h(x) = (9x + 9)² Choose the correct pair of functions.…

A: The given function is:h(x)=9x+92

Q: Let the quadratic function f be defined by f(x)=2x-x² Compute the following. (a) f(4) (b) f(0) (c)…

A: Given query is to find the Indicated function operation.

Q: 16) Find (f • g)(x) for f (x) = 4x³ – 5 and g(x) = 2x. %3D -

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Q: 10. (a) Describe the transformations of y = x³ into the function f(x) = 8(x-1)³ -5. = (b) Describe…

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Q: Find f(x) and g(x) so that the function given can be described as y = f(g(x)). y = (x³ + 1)² [?] = […

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Q: find the domain of  f(x)=√ 2x+3 1. x ≥ 0 2. x ≥ 2/3 3. x ≥ -  2/3 4. x ≥ 0

A: we have to find the domain of f(X)

Q: 3. Is the polynomial f(x) = 2x° + 30r – 150 € Q(r] reducible or irreducible over Q? In either case,…

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Q: 4. Consider the functions k(x)= 27* and m(x) = 9 · 3ª. (a) Are k(x) and m(x) the same function?…

A: Given: Functions k(x)=27x and m(x)=9·3x

Q: Q1. (a) Find the domain of the functions f(x) = V(1– x)(x – 3) and g(x) = In(x – 2)(5 – x). Also…

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

Q: 7.) For the functions f (x) = 3x2 – 5x +7 and g(x) = 4x +8 find (f • g)(x)

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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: Consider the function defined by f(x) = −x³ + 6x² - 10. (a) Determine the values of x for which f(x)…

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Q: The function f(x) = 2* is transformed to become g(x) = 2x What is the effect on f(x)? of(x) is…

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Q: 1. Circle the function if it is a (a) f(x) = 3x³ - 2x² + x (b) f(x) = 5x ² +5x² (c) f(x) = 2…

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