EXAMPLE 2 The graphs of y = f(x) and y = g(x) are shown below. DO NOT attempt to fir f(x) of g(x). Let R(x) = L) g(x) y = f(z) y = g(z)

Q: (1) Find and classify the extremes value of f(x) = 6x* – 4x° over the interval [-2, 2). (2) A…

A: According to Bartleby Q/A guidelines, we only allow solving the first question if multiple questions…

Q: Express the function h(x) 4 in the form h(x) = (ƒ o g)(x) where f(x) # x and g(x) # x. 1+ e0.4x а)…

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Q: = x + 3 and g(x) = x², sketch the graphs of: a) (f - g)(x) b) (fx g)(x) Given f(x) =

A: First we have to find function for the given function and we have to plot graph.

Q: Use the graph of y = f(x) to graph the given function g: g(x) = -f(x)

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Q: Determine the following value: F20 + F30 1. 2. F34 3. F67

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Q: Consider the function P(x) = (x – 3)²(x – 9) - The y-intercept is the point The x-intercept(s)…

A: Please refer to the image below

Q: Let f(x) = /1– x and g(x) = . Determine the following composition and its domain. g° g

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Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 3x + 1. 1 h(x) = V3x + 1 f(x) =D

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Q: Find f(x) and g(x) such that h(x) = (f o g)(x) and g(x) = /x +5. h(x) = (Vx +5)* f(x)=

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Q: Let g(x) = VT + 3.

A: Given,  g(x)=x2+3

Q: find (f+g)(x) (f-g)(x) (f•g)(x) (f/g)(x) and their domains

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Q: h(x) = 1 (x-2)3

A: (a) consider functions        f(x) = 1/x3 and g(x) = x - 2.       Then, f(g(x)) = f(x - 2)…

Q: Differentiate. y =x° In x- dy II

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Q: Consider the two functions. f(x)=2x-(3)/(2) g(x)=2x+3 Which translation maps f(x) onto g(x) ?

A: A translation is a geometric transformation that moves every point of a figure, shape or space by…

Q: Let f(x)=2x+3 and g(x)=x+√x+2 Find f+g   (f*g)(x)

A: Given function is f(x)=2x+3 and g(x)=x+√x+2

Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(x) - 1

A: Given:y=fxgx=fx-1

Q: g(x)= f (x)-(f(x))" +(f (x))* for all xeR. Prove that f (x) and g(x) increase or decrease together.

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Q: 2. The function f and g are given by f(x) = In x and g(x) = e* +2 a) State the domain and range of f…

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Q: (x) = x. What is g(x)? g(x)- (1,5) 15 f(x)

A: As per given by the question, there are given that; fx=x2, then find gx. There are also given that,…

Q: Identify f(x) and u = g(x) such that F(x) = f(u) = f(g(x)) for the function F(x) = (5x - 3.4)⁹.…

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.