Q. Let f(x), 9(x) : [a,b] –→ R, f(x),9(x) € R([a, b]). One of the following statements is wrong a. 2f(x) +3g(x) E R([a,b]). b. f(x) – g(x) | E R(la, b]). c f(x) + 9°(x) E R(la,b]). f(x) – 9(x) d. f(x) + g(x) E R(la, b). a d

Q: Let C(a) be the predicate " is a comedian, and let F() be the predicate" is funny." Match the…

A: Given: Cx is the predicate 'x is a comedian' and Fx is the predicate 'x is funny'. It is required to…

Q: Let 2 f(x) = a² + 9 and g(x) = /3x – 5 If h(x) = (f o g)(x) and k(x) = (go f)(x) then h(3) and k(3)…

A: Composite functions

Q: If f(x, y) = 2√x² + y² - 16, then the domain of f is the set D = {(x, y)]x² + y² ≥ 4}. Select one:…

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Q: 1)For the pairs of function find: a) (fog)( c)The Domain of (fog)() fow=3x- 4 b) (gof)s) gN=Vx + 2

A: We have the given function as fx=3x-4gx=x+2 The term “composition of functions” (or “composite…

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

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Q: Provide an appropriate response. Find f(x) if f(x): and f(1) = 4. Select one: O A. -28x-5+ 32 7.…

A:

Q: f(x) = x2 + 2, g(x) = x2 - 2.Find:a. (f ∘ g)(x)  b. (g ∘ f)(x)  c. (f ∘ g)(2)  d. (g ∘ f)(2).

A:

Q: Given f(x) = 5x + 2x, evaluate f(-2) b. f(-1) c. f(0) d. f(1) a.

A: A function is a map from its domain to its range such that every value in domain is mapped to…

Q: 1. For f(x) = 3x² + 5 and g(x) = 7x - 2, a. Find f(2) and g(2). b. Verify: g(x + 2) # g(x) + g(2).…

A: Given data: *The function f(x) is f(x)=3x2+5 *The function g(x) is g(x)=7x-2 a) We have, f(x)=3x2+5…

Q: The domain of the function' f(x)=√ is Select one: O a. (1,00) O b. (-∞0,1) O c. (0,00) O d. 0,1 Oe.…

A: Domain of the function

Q: The domain of f(r) = /3 – ± In(x) is Select one: O a. (0,3] O b. (0, 00) О с. (0, 3] O d. (-00, 3)

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Q: Propositional logic consists of: Quantifiers ☐ Propositions Connectives

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

A: Given  f(x) =x3+3x+17

Q: Let f(x) = V2x and g(x) = -11/2x . Find (f + g)(x) and (f - g)(x). Then evaluate f +gand f - g for x…

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

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Q: f(x) = x2 + 1, g(x) = x2 - 3.Find:a. (f ∘ g)(x)  b. (g ∘ f)(x)  c. (f ∘ g)(2)  d. (g ∘ f)(2).

A:

Q: 10. Let f(x)= 3x + 8 and g(x)= x - 2. Find f(g(x)). a. 2x + 3 b. 2x - 3 c. 4x + 1 13 d. 3x + 2

A: As per our guidelines we are supposed to answer only one question. Here question 10 answered.

Q: (f – 9) (-3)

A: Givenf(x)=x3-6x2+11x-5g(x)=4x3-8x2-x+12

Q: Let P (x) = 2x - 15a + az?+ bx + c, where a, %3D Given that (x - 5) is a factor of P (r), find a…

A: It is given that,  P(x) = 2x4 - 15x3 + ax2 + bx + c It is given that, (x - 5) is a factor of P(x).

Q: | Let f(x) = 2x³+3x²-x-5. Determine f[x0, x₁, x2, x3] and ƒ [x0, X₁, X2, X3, X4].

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Q: f(x) = √x, g(x) = x - 1.Find:a. (f ∘ g)(x) b. (g ∘ f)(x) c. (f ∘ g)(2) d. (g ∘ f)(2).

A: Given :          fx=x , gx=x-1