Two functions are defined as shown below. f (x) = (Vx +2) g(x) = (x - 2)° a) Give the domain and range of f and g. b) Write an expression for the function (g + f)(x) and give its domain. c) Find an expression for the function (g o f)(x) and give its domain and

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A: Given that f(x)=x+6 g(x)=√(-x+6)

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A: The given function is: The given function has to be y=f(x).

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Q: Assume that the function f is a one-to-one function.  (a) If f(8) = 6, find f -1 (6) (b) If f…

A: (a) Given that f(8)=6.

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A:

Q: Use the graphs of f and g to evaluate the functions. y f(x) y g(x) 4 3- 1 2. (a) (f. g)(2) (b) (g .…

A: Here is the solution of the given problem.

Q: 1. Explain how you know which line segments are a base and height of the parallelogram. 5 cm 6.5 cm…

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Q: 12. Find and simplify f(x)−ƒ(a) - for each of the following functions. x-a (a) y = f(x) = x² +4 (b)…

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A: Solution: Given

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.