Mike's Math Videos - Compositions of Functions

Compositions of Functions

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

If f of x = 4x - 7 and g of x = x squared minus 3, find f of g of x and g of f of x and their domains

If f of x = root x minus 1, and g of x = x squared + 2, find f of g of x and g of f of x and their domains

If f of x = root x minus 5, and g of x = 1 minus x squared, find f of g of x and g of f of x and their domains

$If f of x = the fraction with numerator 3 and denominator x - 7 and g of x = 1 over x, find f of g of x and g of f of x and their domains$

$If f of x = the fraction with numerator x and denominator x + 2, find f of f of x and its domain$

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