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Composition of Functions Worksheet  Form

Composition of Functions Worksheet Form

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I'm Anil Kumar here is a test question on function of functions that f of X equals to 3 X minus 12 and G of X equals to square root of x find domain range of the following functions so we need to find domain and range of f of G of X and G of f of X okay so what is f of G of X f of G of X is basically equal to F of G of X square root X so to find that replace X with square root X in f of X equation so we get 3 square root X minus 12 now from here you can write domain as the X values can be greater than equal to 0 where X belongs to real numbers as far as the range is concerned this part is positive and therefore it could be lowest value 0 right so the range here is y is greater than equal to minus 12 where Y belongs to real numbers so they set up these numbers so that is how you get to main range of F of G of X now you can actually pause the video find the function G of f of X and write its domain range so let's do it now G of f of X is equal to G of f of X is 3x minus 1

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