When we put two functions together, we have something called a composition of functions. For example, the expression g(f(x)) states that we should put the "f" function into the "g" function. To do this, we simply substitute the entire inner function into each of the variables in the outer function.
Sample Problems (4)
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|f(x) = x² + x|
|g(x) = x − 3|
|h(x) = √x|