The equation of a quartic function with zeros -5, 1, and 3 with an order 2 is: * O f(x) = k(x - 3)(x + 5)(x - 1)^2 O f(x) = k(x - 1)(x + 5)(x - 3)^2 O f(x) = k(x + 1)(x - 5)(x + 3)^2 O f(x) = k(x - 1)(x + 3)(x + 5)^2

Q: Determine the value of A such that the domain of f(x) = +14 is (-∞0,8) U (8,00) - A

A: The domain of a function is the set of input or argument values for which the function is real and…

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: f(x) = -9 f'(x) = -(x²+9) (x²-9)2 f"(x) = 2x(x²+27) (x²–9)3 4. Given a) Provide a complete analysis…

A: a)

Q: f (x) = 2x, g (x) = x + 4 and h (x) = 5 – x³ Evaluate the following: 6) (f + g) (2) 8) (f · h) (–1)…

A: Using rules of function.

Q: Solve the following function for the value (s) of x  2x2-6x+4=0 a)(2,0) (1,0) b)(-2,0) (1,0)…

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Q: find a so that the point (-1,4) is on the grapn of f(x) = ax² + 2

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Q: 1 and g(z) 4. f(x) = %3D

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Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + ß with…

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Q: Find f[g(x)] and g[f(x)]. f(x)=√√√x+2, g(x) = 18x² - 11 f[g(x)] = g[f(x)] =

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Q: (P) xp- (e) fx dx (1) √(2x² - 6² xp(x9

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Q: The quadratic form Q(x) = 3x,² + 7x22 + 4x3? is (a) Positive definite (b) Indefinite (c) Negative…

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Q: If f (x) = 3x ^ 4 + 5x ^ 3 + x ^ 2-2 then write f (x) as the product of irreducible terms of Q

A: We have to express f(x) as the product of irreducible terms of Q.

Q: The range of f(x) 3 (2х — 1)(1 — 3х) + 4x2 is О 44/9, со) О -со, 35/9] О 23/5, со) О 17/3, со) О -о,…

A: Given  fx=2x-11-3x+4x2 Here we have to find the range

Q: Suppose f(x) = x + 3x + 1. In this problem, we will show that f has exactly one root (or zero) in…

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Q: 3) Let f(x) = and g(x) = 2 +x 1-3 x Compute and simplify (f g) (x), then state its domain.

A: Given: f(x)=x2+xg(x)=11-3x The objective is to find f∘g(x)

Q: Algebraically, find all zeros of f(x) = 8x3-6x2-36x + 27 in simplest form, %3D 4. Format Font - Size…

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Q: Given the function h (x) = 9x¹ - x² A) Factor: h(x)= [Select] B) Determine the real zeros: [Select]…

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Q: Write a cubic function whose graph passes through the given points. (4, 3) (-1, 0) (5, 0) -8 4 (2,…

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Q: Which of these is fixed point equation for f(x) = x*+9x²-x-3. O f(x)=x/(x°+2x) O f(x)=(x+3)/(X+2) O…

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Q: fx) = x-x, g(x) = 9-2r, and h(x) = x² + 2x-63

A: Given f(x) = x2-x, h(x) = x2+2x-63 To find the function (f-h)(x) By definition of the difference of…

Q: The quadratic form X1 e x2 = x} – 2x1X2 + x} + x} %3D - X3 on 3 is Positive definite Positive…

A: The solution is given as

Q: Determine if each function is a polynomial or not 1) f(x) = x + V5 2) f(x) = n²x$ – 3+ x* + x? 3)…

A: We need to determine if function is polynomial. Degree, principal factor and fixed term. NOTE- As…

Q: /x + 3 + 4 – x > - 3

A: Answer

Q: f (x) = -3x2 + 3x – 3 and | x 9

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Q: Given f(x) = 2(x - 1)(x + 3)³(5x + 1)^(x − 3)¹ List the zeroes (ex. 4, 6, -2): Degree: End behavior:…

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Q: 1 Expand f(z) : in the domain %3D (z-6) (z-9) 6 < [z] < 9.

A: Laurent series exaption in annulus

Q: Find the composition f[g(x)] if: O 2-3u10 (10 - 15x2)5 O f(u) = u5 and g(x) = 2 - 3x² (2-3x²)²…

A: fu=u5 , gx=2-3x2

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.