Using composition of functions determine if the two functions are inverse of each other

The composition operator (○) indicates that we should substitute one function into another. In other words, (f○g)(x) = f(g(x)) indicates that we substitute g(x) into f(x). If two functions are inverses, then each will reverse the effect of the other. Using notation, (f○g)(x) = f(g(x)) = x and (g○f)(x) = g(f(x)) = x.

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).

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