If f(x) is a polynomial of degree less than 3, then prove that f(a) (x-a) |1 f(b) (x-b) f(c) (x-c) 1 a 1 b 1 c a a² b 6² 222 C f(x) (x-a)(x-b)(x-c)

Q: 3. For the function g(x) = x³ – 2x? – 11x + 12, use long division to determine whether each of the…

A: we devide the polynomial by given factor and if we get remainder zero then this given factor is…

Q: 1. Determine a possible equation for each polynomial function. a) f(x)= d) f (x) = c) f(x) = f) f…

A: To find the equation of the given graph of function f(x) :-

Q: Find f(x) and g(x) such that h(x) = (f o g)(x) and g(x) = 4 - 8x. h(x) = (4 – 8x)³ – 7(4 – 8x)² +…

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Q: Consider the functions f(x) = x² 4 and g(x)=√x-2. Which of the following is an element of the domain…

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Q: The function f is given below. Find f1(x). 2x-4 f(z) = %3D x-5

A: to find an inverse function, interchange variables, and solve for y

Q: Does f=g?

A:

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: 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: Let f(x) = 4+ (5x +9)³. Find f¹(x) = (1) · (√(x − 4) – 9) Find (ƒ(2)) -¹ = (¹) · (√(x-4) – 9)

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Q: Let f(x) = 2x2 - 1 and g(x)= 1 + x². Find (f o f)(x). O x* +2x² +2 4 O 4x4 – 4x2 + 2 | 4 O 2x* + 4x²…

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Q: Find the coefficients a,b in the function f(x)=ax+b so that (f(x1)-y1)^2+(f(x2)-y2)^2+(f(x3)-y3)^2…

A: Given data: Function fx=ax+b so that fx1-y12+fx2-y22+fx3-y32 is as small as possible. Given table of…

Q: Let f(x) = 5 + x + x² and h = 0. (a) Does f(5 + 1) = f(5) + f(1)? O Yes Ο NO (b) Find f(x + h). (c)…

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Q: 1 Let f(x) = x²-3x+2, g(x) = and h(x)=√1-x. Find f( - 6), g(-6), h(-6), h(a), and h(-x).

A: Let's evaluate the functions step by step. Given Functions 1.f(x)=x2−3x+2 2.g(x)=x​1​ 3.h(x)=1−x​…

Q: Find f(a), f(a + h), and the difference quotient la + h) na) where h * 0. f(x) = 5 - 6x + 2x2 f(a) =…

A: Given,            f(x) =5 - 6x + 2x2

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: B. Find the domain of 1. h(x) = (x – 2) (x 2 -2 x + 1) 2. (x – 1)(x + 3) 1 and g(x) : x + 3 -1 3. If…

A: Domain is the set of all possible values of x (independent variable) for the function.

Q: For f(x)=2x4 +2x3-1 and g(x)=2x3 +2x+3 in Z4[x], the degree of fg is 7. True or false

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Q: Let f(x) = x4 − 9x3 + 23x2 − 15x − 10. Find an integer n1 so that f(x) has a root between x = n1 and…

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Q: Let f(x) = 5x - 4 and g(x) = x? – 5x + 6. Then %3D %3D (f o g)(x) = %3D (go f)(x) = %3D

A: givenf(x)=5x-4and g(x)=x2-5x+6fog(x)=f{g(x)}=f(x2-5x+6)=5(x2-5x+6)-4=5x2-25x+26       answer

Q: Prove that f(x) = 5x? + 3x – 26 is 0(x²). %3D

A: Given: f(x) = 5x2 + 3x – 26  is  θ(x 2).

Q: If f(x) = 3x + 4 and h(x) = 3x2 + 3x + 1, find a function g such that f ∘ g = h.

A: Find function h

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

A:

Q: Let f(x) = 9 + x + x² and h = 0. (a) Does f(9 - 1) = f(9) + f(1)? Yes O No (b) Find f(x + h). (c)…

A: The given function is; f(x)=9+x+x2

Q: Find f(x) and g(x) such that h(x) = (f o g)(x) and g(x) =/x +1. h(x) = (\/x + 1)*

A: NOTE: Refresh your page if you can't see any equations. .

Q: Express the polynomial f(x)=3-12x + 21x² 16x³ + 5x4 4 f(x) = Σbi(r - 1). i=0 in the form

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