Unit 1: Functions - Properties and Characteristics Example 3: Given d(x)= x³, f(x)=√x, g(x)= i) Find each function and state its domain: a) d(h(x)) b) gof (x) c) f(h(x)) X x-4 h(x) = 3x+4 ii) Find (x) as a composition of 2 of the functions above. (0)-(-_-_-_-) 4 a) r(x)= b) r(x) = 3x³ +4 4 3x c) r(x)=1+- Date: d) r(x)=√(3x+4)³ K

Q: Topic : Composition of Functions - Worksheet 3 Using f(x)=6x+2 and g(x)= x-5, find: 1. f(9(7)) 2.…

A: Here I am attaching image so that you understand each and every step. Solution:-  given function…

Q: Example 4: a) Find the inverse of the function f(x) = 2(x + 4) - 6 b) How would your answer to a)…

A: I am attaching image so that you understand each and every step.

Q: Find the Green's function: G+ 16G= 8(x-5), G(0,5) = 0 G (2,5) = 0

A: The general solution to the homogeneous equation is Gh​(x)=Acos(4x)+Bsin(4x)Substituting (x=2π​)into…

Q: Given two functions f(x) = x² – 3x and g(x) : - = x + 13, find the following. a) f( – 2) + g( – 2)…

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A: Step 1:To show that the function f(x)=6x−2 defines a one-to-one (injective) function, we need to…

Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8."…

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Q: Given the following two functions, is f(x) - g(x) = g(x)-f(x) true for all functions? f(x)=x²-9,…

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Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8."…

A: Given that the rule of function f is "add one" and rule of function g is "multiply by 8".

Q: c) Identify two functions, f(x) and g(x), in which (f o g)(x) will have the domain {x €R|x2 2, x #…

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Q: The table below represents the inputs (x) and outputs [f(x), g(x), and h(x)] for three functions.…

A: Answer(a): Given that,  For function f(x), x-values and corresponding f(x) values. Write, these…