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

Q: If a function f has an inverse and f(- 2) = 5, then what is f(5)? f(5) =

A: Given that a function f has an inverse and f(-2)= 5 We want to find the value of f-1(5).

Q: Find the entire domain on which the function f is one-to-one and non- decreasing. Write the domain…

A: f(x) = (x+3)2 so, f'(x)= 2(x+3)for f'(x)⩾ 0  ⇒ 2(x+3)⩾0                       ⇒ x ⩾ -3Hence,…

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Q: When functions f and g are inverses, they undo each other's work. That means, if we • begin with any…

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Q: Consider the following function. f(x) = (x - 9)2, x29 Find the inverse function f-1_ !! State the…

A: fx=x-92,  x≥9 Let, y=x-92 To find inverse function, interchange x and y then solve for y in terms of…

Q: 7) Construct a table of values for the function f(x) = x 1 in the restricted domain (0, 0.5, 1, 1.5,…

A: Or

Q: Let f and g be the functions, their product and quotient are denoted by ____________ and

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Q: 4x+1 A function f is defined on the det of real numbers by f(x)=- 2х-3 i) Write down the domain of…

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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: How do you show the inverse image of the union of S and T equals the union of the image of S and the…

A: