Composite Functions: Linear Functions (CAS)

Create a graphing window.

Input two linear functions.

Press Enter to graph each function.

Input function f3 that is composite of the first two functions.

Create a split screen.

Move the equation links to make them readable.

Create a calculator window on the other screen.

Find the expression for the composite function.

Compare to the explicit evaluation.

Now compare to the expression for f3(x).

Notice that all three expressions are equivalent.

Repeat with three new functions.