Let H(x)= " plays hockey". Let B(x) = "x plays basketball". Which statement below means "If everyone plays hockey, then everyone plays basketball"? OVx (H(x) A B(x)) ³x (H(x) ^ B(x)) OVx (H(x) v B(x)) ○\x (H(x) → B(x)) 3x (H(x) v B(x)) O=xH()A= B(x) ○\x (B(x) → H(x)) OVE H(x)→VB(x)

Q: Domain of:  Csc(x)+2

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Q: Define f (x) = 4+ x – x² and g(x) = 5x – 3. Define f(x) - - (f o g)(x) = (go f)(x). True False

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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: If h(x) = 8x – 3, find 3[h(x)]² – 7 -

A: We know that- (a+b)2=a2+b2+2ab

Q: Let f(x) = x³-212-9. If f(3) = 0, then (x-3) is a factor of f(x). O True O False

A: factor theorem states that if f(x) be a polynomial of degree n , and (x-a) is a factor of f(x) then…

Q: Let f(x) 2x + 4x + 4 and let f(3 + h) – f(3) q(h) Then q(0.02)

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Q: Let P(x) = ax² + bx³ + x +1 where a and b are real numbers. Find values of a and b such that P(2i) =…

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Q: 8x2

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Q: Show that x + 5[x²] is 0(x²).

A: This is a problem of complexity.

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: Let f(x) = 5x –- 3 and g(x) = x2 – 6x + 2. Then (f o g)(x) = (go f)(x)

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Q: Let f(x) = 3x – 6 and g(x) = x² – 3æ + 7. Then (f o g)(x) = (g o f)(x) =

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Q: Use f(x) = 2x - 8 and g(x) = 4-x´ to evaluate fAg(-1)). %3D Find f (g (x)) for f (x) = 7x + 7 and…

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Q: Let f(x) = 2x – 5 and g(x) = x² – 7x + 2. Then (f o g)(x) = (go f)(x)

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Q: Let f(x) = 6x – 4x² – 7x³ and g(x) = 9x² – 5x . Find (f + g)(x) and (f – g)(x). Then evaluate f +g…

A: Question- Let f(x) = 6x - 4x ^ 2 - 7x ^ 3 and  g(x) = 9x ^ 2 - 5x  Find (f+g)(x) and (f-g)(x). Then…