flx)= Sin(X) g(x)= X*+6 h=e% o (gof) (8inxfa 6 8in (x3+6) Find the Domain and the Range for O M) hog e (xt+6),

Q: Find intervals where g(x) = 3x − x3 is increasing

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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: S Sifoo-gool dx O d2 (f.g) = Sup {/fox) - gox|} V£₁9 € [0₂4] if d, (fig) = Find Ⓒd₁ (√x,x) @d₂…

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Q: Given the function fA(x) = x², g(x) = 3x – 4, find the composite function gof (where gof'means…

A: I have find inverse of f the composition

Q: Given f(x) = + 5, find the domain and range of f-'(x). %3D X – 3

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Q: f(x) = x+ 4/x

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Q: f(x) = Ax , g(x) = Bx^2 Find A and B if (f o g) (1) = 11

A: This is a simple question based on composition of functions which could be solved with the basic…

Q: ExG5) Show theit for indepenelent funetiins %3D %3D

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

A: We have to find domain and range

Q: find the fallowing Js(x)

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Q: Determine whether f(x) = e-lxl is even or odd.

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Q: Sx² – 4 if x # -3 -2 if x = -3' Evaluate f(4), f(0), f(-3) and f(-2/3)

A: fx=x2-4if x≠-3-2if x=-3 We have to evaluate f4 , f0 , f-3 and f-23

Q: x + 4 6. Let f(x) find the following: x - 3 a) f(2) b) f(4) c) domain of f

A: Use the value of x for finding the function.

Q: Give the formula for f(n) (x) where f(x)= 1/(3x-1)

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Q: Differentiate the functions. a) f(x) = 2 – 5x + b) f(x) = e* + sinx c) f(x) =

A: Differentiate wrt x

Q: Let a, b 0. Find f(100) (a) provided that x³ (a - bx)²* f(x) =

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Q: る(4xナx)(10x2+x2-2

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Q: For the function f(z) 2(x – 5) + 7, which of these equations describes f '(r), the inverse of the…

A: We wil use concept of inverse function to find the answer.

Q: (6) (x)어

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

Q: Let y = || = y'"' = = x + 7 X X Hint: Try to do this without using the quotient rule.

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Q: Let two functions be f (x) = Ax + 3, g (x) = Bæ² Ba? %3D What are the possible values of A and B if…

A: We can find the possible values of A and B as below.

Q: differentiate f(x) = O O O O - 1 1 9x2+ 13x-5 18x + 13 (9x²+ 13x - 5) 3/2 1 (9x² + 13x - 5) 3/2 18x…

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Q: Let f (x) = x - 1 and g (x) = x² (x + 1). Evaluate Se 3 + dx f(x) g(x) You must show all steps.

A: Integration of e-3x+f(x)/g(x)Where f(x)=x-1,  g(x)=x2(x+1)