Consider the following functions. 8 f(x) = and 9(x) = 2x - 6 (a) Find the domain of f(x). (Enter your answer using interval notation.) (b) Find the domain of g(x). (Enter your answer using interval notation.) (c) Find (f o g)(x). (Simplify your answer completely.) (fo g)(x) = (d) Find the domain of (f o g)(x). (Enter your answer using interval notation.)

Q: R(x) = (x-2)2

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Q: 2x Use the function f(x) to answer the following questions. x² +2

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Q: Let s(t) = 81 + 3t + 100 be the position, in miles, of a car driving on a straight road at time t,…

A: Given that, position= s(t)=8t2+3t+100 at time t. velocity=v(t)=16t+3 at time t. (a) Then using…

Q: Find the domain and range of the function f(x)=: 1+x

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

Q: For f(x) = x2 +3 and g(x) = x² - 7, find the following functions. a. (fo g)(x); b. (g o f)(x); c.…

A: f(x)=x2+3 and g(x)=x2-7

Q: f(x) = 20+x divided by x-3 find the domain of the function shown and write answer in interval…

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Q: Find and simplify f(a + h) – f(a) (h + 0) h for the following function. f(x) = 8x2 - 4x + 7 sh? -…

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Q: For the given functions, find (fo g)(x) and (g f)(x) and the domain of each. 1 f(x) -3x g(x) = X (f…

A: We plug g(x)=1/x inside f(x). And then simplify.Answer: (fog)(x)= 8x/(x-3)

Q: f(x) = √(x - 1) a. Find an equation for f -1(x).b. Graph f and f -1 in the same rectangular…

A: Given function is y=x-1.

Q: Use the function to evaluate the indicated expressions and simplify. f(x) = 4x – 3 f(2x) 2f(x) = II

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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.