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: 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 the inverse of the function f(x) = 2x+1 3x−4

A: Consider the function fx=2x+13x-4.

Q: f(x)= 3x-2/ x+1 find the inverse

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Q: Find the inverse function  y=g(x)=√t-3 g-1(y)=

A: The given function should be

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 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…

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.