5. a) Define the following with an example: i) Domain of a function ii) One – to – one function b) A function f is defined on the set of real numbers by i) Write down the domain of f. ii) Show that f is a one – to - one function. iii) Find the inverse of the function f. c) Given the function f(x) = x2 , g(x) = 3x – 4, find the composite function (where means followed by g) d) A functionf is defined on the set N of natural numbers by f(0) = 2, f(2) = 5 and f(n) = 2 f(n - 1) + 3 f(n - 2) + f(n - 3) for all n 3 3. Find f(4). %3D 10:47 AM

Q: Use the table to answer parts a) and b) about the function f(x). x f(x) -85 -2 7 29 6 2 a) Evaluate…

A: Given table xf( x )-85-272962

Q: rewrite the function F = (A ⊕ B) ⊕ C without the XOR operator, ⊕.

A: The given function is F = (A ⊕ B) ⊕ C.

Q: assume that f is an even function and g is an odd function. Both f and g are defined on the real…

A:

Q: Use the graphs of f and g (see attached) to evaluate the composite function :  (f ∘ g)(-1)

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Q: Determine whether the given statement is true or false. If the statement is false, make the…

A: Consider the functions fx=x3    and   gx=x13. Note that  f∘gx=fgx=fx13=x Similarly, g∘fx=gfx=gx3=x…

Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

Q: 1. Find the inverse of the following function: f(x) = x² + 2x-4. Restrict the domain of f(x) such…

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Q: Let R denote, as usual, the set of all real numbers. Consider the following two functions: f: R→ R…

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Q: Let R denote, as usual, the set of all real numbers. Consider the following two functions: ƒ : R → R…

A: Given:The functions and  are given as: given by ; given by ., where  is the set of all real…

Q: (c) Let U be the set of natural numbers, A be the set positive odd integers and B be the positive…

A: Let's find.

Q: 44) Use the functions defined below to answer the following questions. f(x) g(x) 5 1 8 2 -2 3 8 -7 X…

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Q: Example 2: For f(x)=1/(x-1)²-3: a) Determine the inverse of f(x) and graph each relation. b) State…

A: Given  f(x)=12x-12-3 Here we need to draw a graph and find out the inverse For finding inverse we…

Q: 3. and g(x): 1 be functions. Which of the following is the domain of the composite function (f o…

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Q: Consider the function: g(x) = with the domain R\(9} (i.e. all real numbers except 9) and the image…

A: We use the definition of the inverse of a function to find the inverse of g(x).

Q: Evaluate

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