Suppose f (x) =x²csc²(x³). Evaluate: A - 3cot(x³) + C B -con(x*) +C © -x²cot(x³) + C O -co(x*) + C

Q: Let f(x)=3−xf(x)=3-x and g(x)=x3+6g(x)=x3+6, find: (g∘f)(x)

A: The given functions are f(x)=3-x and g(x)=x3+6.

Q: Differentiate: f(x) = e* +3* + In(4) A f)=e*+3in(3) +- f(x)= e+3 n(3) © fx)= e* +3* f(x) = e* +3* +=…

A: fx=ex+3x+ln4

Q: Show that f(x) = (3x + 2)/(5x-1) is invertible. Determine the domain and range of f and f-1.

A:

Q: Find f(x) o g(x) and g(x) o f (x) for f(x) = x² + x - 3 and g(x) = x - 5 a. f (x) o g(x) = b. g(x) o…

A: Use composition of functions

Q: What is the quotient when f(x) = 6x¹ − 2x³ + x² − 3x + 1 is divided by g(x) = x² + x -2 in Z₂[x]?

A:

Q: Let ​F(x)=x2− 2 and G(x)=13−x.   Find ​(F•​G)(10​)

A:

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…

A:

Q: Let g(x)=x2+6x        and f(x)=4x       Find each of the following.      a)  g(−1)      b)…

A:

Q: Let f(x) = x3 + 5. Explain why f(x) is invertible, then show all steps in the derivation of a…

A: Invertible function and it's inverse.

Q: ,x2

A:

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) = x*(3x + 2)°, find f(x). O x(3x + 2)7(11x + 8) O x³(3x + 2)7(36x + 8) O x³(3x + 2)7(20x +…

A:

Q: Let b be a zero of f(x) = x5 + 2x + 4 Show that none of √2, ∛2, ∜2 belongs to Q(β).

A:

Q: Let f(x) = 4.x³+ 2x 10 and g(x) = x3. (a) Prove that f(x) is O(g(r)). (b) Prove that 9(x) is…

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Q: Suppose f(x) mx(x²-3)4 Evaluate: [5(1)dr (x²-3)$ +C A B 습(2-3)5+C 10

A:

Q: Let f ( x ) = x^ 2 − 1 and g ( x ) = 3 x. Find ( f ∘ g ) ( x ). group of answers 3x^3 − 3x 3 x^2…

A: Given functions, f(x)=x2-1 and  g(x)=3x

Q: The number of zeros of f(x) = 6x'– 7x +9x- 2 is , provided that each zero is counted according to…

A: The solution is given below.

Q: Find the hcf of f(x) = x^5 + 3x^4 + 10x^3 + 19x^2 + 22x + 32 and g(x) = x^3 + 3x^2 + 7x + 10 in…

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Q: Assume that x=​x(t) and y=​y(t). Find dxdt​, using the following information.   x2+y2=2.92​; dydt=−2…

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Q: Let f(x) — За — 1, g(х) 1, g(x) x + 2, and - h(x) 3x + 4. Perform the indicated operation. (Simplify…

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Q: Let f(x) = 3x^3 + 3x^2 + 3x+ 3. Write f(x) as a product of irreducible elements in:

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Q: Let f(x) Then (f o g)(x) — 5а — 4 and д(x) — г* — 4+ 2. 4х + 2. = x - - (go f)(x)

A: