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f f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))? On a coordinate plane, a straight line has a positive slope and goes through (negative 2, negative 1), (0, 0), and (4, 2). On a coordinate plane, a straight line has a positive slope and goes through (negative 3, negative 3), (0, 0), and (3, 3). On a coordinate plane, a straight line has a negative slope and goes through (negative 4, 2), (0, 0), and (4, negative 2). On a coordinate plane, a straight line has a negative slope and goes through (negative 3, 3), (0, 0), (3, negative 3).

Answer :

Using inverse function concepts, it is found that the graph of f(g(x)) is given as follows:

On a coordinate plane, a straight line has a positive slope and goes through (-3,-3), (0, 0), and (3, 3).

What happens when two inverse functions are composed?

When two functions f(x) and g(x), that are inverse of one another, are composed, that is, y = f(g(x)), the resulting function is given by:

y = x.

Hence the graph of f(g(x)) is given as follows:

On a coordinate plane, a straight line has a positive slope and goes through (-3,-3), (0, 0), and (3, 3).

More can be learned about inverse functions at https://brainly.com/question/8824268

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