Q1. (a) Find the domain of the functions f(r) = V(1 – r)(x – 3) and g(x) = In(x – 2)(5 – x). Also determine the domain of the functions (f- g)(x) and

Q: 2 For f(x) x 5 and g(x)= 7- x, find b. the domain of f og (fo g)(x); а.

A: Consider the given functions.

Q: Of (x) = (4x-6x* + 4 3 3 Of (x) = x* – 2x³ + 5 Of (x) = x* – x³ +4 6 ,3 %3D f (r) – 2r4 6r3 1 8

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Q: For the functions f(x) NOTE: Enter the exact answers (a) f(g(1)) = (b) g(f(1)) = (c) f(g(x)) = (d)…

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Q: Consider the functions f (x) = 5x + 3 and g(x) = v8 – 2x. Find the domain of (gof)(x). %3D

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Q: For the function f defined by f(x) = x2 - 4x + 1,

A: Given function: fx=x2-4x+1

Q: Find and sketch the domain for the function

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Q: 1 Let f(x) = x²-3x+2, g(x) = and h(x)=√1-x. Find f( - 6), g(-6), h(-6), h(a), and h(-x).

A: Let's evaluate the functions step by step. Given Functions 1.f(x)=x2−3x+2 2.g(x)=x​1​ 3.h(x)=1−x​…

Q: 4. Use transformations of the graph of e* to graph the functionf(x) = e¯* – 3 and state the domain,…

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Q: b) h(x) - 13 — 2х - х?). c) h(x) = V3 - x 5, d) h(x) = Vx³ + 4x2 + 1.

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Q: Define f(x ) = – x² and g(x) = 5x – 3. 4+x - - Find the value of (f – 9)(-1).

A: Proceed as shown below...

Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where…

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Q: Find the domain of the function f(x) = V-a? 3x + 4

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Q: Define f (x) = 4 + x – x² and g(x) = 5x 3. %3D - - Find the value of (f•g)(-1).

A: Explained below..