of 9 - + Automatic Zoom 3 (5) For the functions f(x) = and g(x) =+ 4, find f(g(x)) and g(f(x)), hence or x- 4 otherwise determine whether g(x) is the inverse of f(x).

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 inverse function of f(x) = x³ +1

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Q: Find f(g(x)) and g( f(x)) and determine whether each pair of functions f(x) = 4x and g(x) =x/4 are…

A: f(x) = 4x and g(x) =x/4 We need to Find f(g(x)) and g( f(x)) and determine whether each pair of…

Q: The inverse function of f(x) = = -7x+3 12 is

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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: 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: f(x)= x2 -3 Find the inverse and show work

A: f(x)=x2-3 => y = x2-3 For inverse, interchange x and y and solve for y.

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 algebraically if f(x) = 5x - 4 and g(x) = x + 4/ 5 are inverses(state your conclusion

A: Given function - f(x) = 5x-4To find the inverse of f(x), we have to calculate the above equation for…

Q: Given the function f (x) = 1/3 x2 - 6x + 5 determine the inverse relation

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Q: Find f(g(x)) and g( f(x)) and determine whether the pair of functions f and g are inverses of each…

A: Given: fx=4x+9, gx=x-94 To determine: fgx & gfx. Also, to find whether the pair of functions f…

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: function

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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: 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.