For f : R → Rf (x) = /100 – xHow many elements of the range of f (x}are integers?

Q: Write down the times tables for: F3[x]/(x² + 1) and Z[i]/(3).

A: We will use basic knowledge of ring theory and/or field theory to answer this question.

Q: 2xy// + (x + 1)y/ +3y = 0

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Q: When f(x) = 8a? – x – 3, evaluate f( – 4) f( – 4) =

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Q: The domain of the function f(x): 11x+8 is x+4 • R-{-4} 10 • R • R-{8} • R-{11}

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Q: Let f(r) z-6z and g(r) -6. Evaluate the following 1. (o g)(z)= 2. (g (z)= 4. (g)(e)

A: The given function is fx=x2-6x and gx=x-6

Q: Define Sx² – 5 if x 1 Calculate f(2).

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Q: Suppose f (x): f(x) dr Evaluate: -4 (A) - In (4) B В 3 16 D In (4)

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Q: If r is a zero of even multiplicity, how come the graph of f doesn’t just cross the x-axis at r?

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Q: a2f ду? 1 If f(x, y, z) = - 2+y² + find ax2 az2

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Q: Answer all a

A: Substituting x = -5 in the given functions, we get i).  ii).

Q: 8. Explain why the power rule cannot be used to differenti- ate the function (2 – x) 1/3.

A: To explain: The reason that the power rule cannot used to differentiate the function 2-x13. Concept…

Q: f (x) = x²ex3-I

A: Given:        f(x) = x2 ex3-1

Q: (-x if x < -2 4. Let f(x)=x² if-2<x<2 Compute the following function values: (0 if x ≥ 2 a) f(-3) b)…

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Q: Evaluate (f x g)(2), given that f(z) - and g(z) -. 2. de".

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Q: Use the function f(x) = 5x – 6 to compute and expand and simplify the following. a. f(-) = b. f(-6a)…

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Q: a) f(x) = {(3, –4), (2, 1), (–9,–3)} |

A: We have to find domain and range

Q: For the function f(x) - 2r + 3z - ka + 2, where f passes through the point (1, – 2), what is the…

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Q: Q7// Evaluate f -64 -dy

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Q: Two similar, but different ones. Consider the function f(x)=exp(x). Let p in P, be the interpolation…

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Q: Which of the following function is a permutation of R? Select one: f(x)= x² +1 o f(x)= x° – x² – 4x…

A: If it is indeed a permutation, then it is one-to-one and onto..

Q: 5 Let f(x) = - and g(x) 7 Find each of the following: x - 8 b. the domain of f – g. | а. (f — g)(x)

A: Assign the function f=5x=5x-gxxAssign the function g=7x-8=5x-7x-8=-2x-40xx-8

Q: Show that (a + b)x = ax + bx for all a, b E F and all x € F¹.

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Q: Find the range of the function f(x) = x2-1 O [-2,21 R\[-1] R\{0}

A: Range of function

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: Suppose f(x) = f(x) dr Evaluate: A - In (:) 5 B) 36 In D

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Q: 1 Compute and simplify the difference quotient for f(x) = V1- x

A: The given function is fx=11-x. Replace x by x+h and obtain that, fx+h=11-x+h. Obtain the difference…

Q: Let f(x) 273 find f(") (x). O a. (-1)"(2+2)! 4743 O b. (-1)" '(2+2)! 4013 O c. (-1)" (2- 2)! O d…

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Q: 1 Suppose f (x): x2. Evaluate: +4 -2 A

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Q: 2t – 5, t 2

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Q: what should n be if f(x) = Xn defineof a polynomial function?

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Q: Let f = {(1,-1), (4,-2), (9,-3), (16,4)} and g = {(-1,-2), (-2, -4), (-3,-6), (4,8)}. Show that gof…

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Q: (6) (x)어

A: we have been given f4(x)=(x2+1)2 we have to find the value of f6(x).