If g (x) is the inverse of f (x), what is the value of f (g (2)) the function f (x) is given below f (x) = { (3,-5), (5,-7), (6,-9), (10,-12), (12,-16) }

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Mathematics

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22 April, 06:35

If g (x) is the inverse of f (x), what is the value of f (g (2)) the function f (x) is given below f (x) = { (3,-5), (5,-7), (6,-9), (10,-12), (12,-16) }

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Laurel Knox · Answer 1

The correct answer is f (g (2) = 2.

This is because of the rule regarding the identity of inverse functions. No matter what an inverse function is, when you make a composite function with an original and it's inverse, then end result is always that y = x. Therefore, no matter what we put in for x (in this case 2), we get out for y.