Question

How to put (f o g) into a graphing calculator involves entering the composition of functions (f∘g)(x) by:

a) Pressing the composite function key.
b) Inputting each function separately.
c) Utilizing the solve function feature.
d) Using the table view feature.

Answer 1

To graph the composition of functions (f o g)(x) on a TI-83, 83+, 84, or 84+ graphing calculator, b) input each function separately into the Y= interface and graph the composition by combining these functions within the function editor.

Step-by-step explanation:

When entering the composition of functions, (f o g)(x) , into a graphing calculator like the TI-83, 83+, 84 or 84+ models, you would typically proceed by inputting each function separately. Here's a step-by-step approach to accomplish this:

1. Firstly, press the 'Y=' button to access the function editor.
2. Enter the outer function f(x) into Y1.
3. Enter the inner function g(x) into Y2.
4. Now go back to the Y1 slot and replace x in your f(x) function with the entire Y2 function. This will look something like f(Y2).
5. Last, graph the function by pressing the 'GRAPH' button to see the composite function (f o g)(x) plotted on the graph.

Unfortunately, there is no specific composite function key on these calculators, and while there is a solve feature and a table view option, these are not typically used for graphing the composition of two functions directly. However, the 'Table' feature could be used to evaluate the composite function at specific points if needed, but that is not the primary method for graphing the function.