Consider the functions f(x) = 3x – 12 and g(x) = +4 (a) Find f(g(x)). (b) Find g(f(x)). (c) Determine whether the functions f and g are inverses of each other.

Q: Let f(x) = and g(x) =: (a) Determine whether f(x) is one-to-one. If yes, find its inverse. (b) Find…

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Q: Find the domain and nange of the inverse of f(x) V+3

A: We have to find

Q: Given f(x)=2(x+1)2+5 Find the equation of its inverse.  Restrict the domain of the original…

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Q: Find f(g(x)) and g( f(x)) and determine whether each pair of functions ,f(x) = 3x + 8 and g(x) =(x -…

A: Consider the given functions are, f(x)=3x+8g(x)=x-83 Now the first step is to find the value of…

Q: Given the function f(x)=x²-3x + 5, determine the inverse relation.

A: To Find the Inverse function we will exchange y with x and will calculate forward accordingly.

Q: The function f(x) = x3 + 2 is one-to-one. For the function,a. Find an equation for f -1(x), the…

A: given: the function f(x)=x3+2 is one-to-one function  as we know that if we have a function y=f(x)…

Q: If the point in function f(x) has the coordinates (-2, 4), then what would be the coordinate for…

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Q: Find the inverse function of f(x)=6+3√x f−1(x)=

A: Given Data: Function: fx=6+3x To obtain the inverse of the function, substitute f-1x for x and x for…

Q: the inverse of f(x)=-4x+8 is:

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Q: Find f(g(x)) and g( f(x)) and determine whether each pair of functions ,f(x) = 3x - 7 and g(x) =(x +…

A: Given:fx=3x-7gx=x+37To find:fgx=?gfx=?

Q: Determine if f(x) and g(x) are inverses of each other by composing F(x) = 4x-3  / 2 g(x) = 2x +3…

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Q: Find f(g(x)) and g( f(x)) and determine whether each pair of functions ,f(x) = 5x - 9 and g(x) =(x +…

A: Given: fx=5x-9, gx=x+59 for finding fgx, we put gx in place of x in given fx so,…

Q: Find the inverse of f(x) f-¹(x) = = - 3x 4x - 2 1 -

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Q: Find the inverse of f(x) = (x - 10)/(x + 10).

A: Given: fx=y=x-10x+10 for finding inverse of given function, we find x in terms of y then replace x…

Q: Let f(x) = 2x + 3 and g(x) = x2+ 4x + 3. a) Find and simplify (g◦ f)(x). b) Find f −1 (x) and show…

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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.