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Use a calculator to determine if two functions are inverses of each other.

a) Yes
b) No
c) Not possible
d) Depends on the functions

1 Answer

4 votes

Final answer:

To determine if two functions are inverses, compose them and check if the result is x for both compositions. This can be done symbolically or numerically using a calculator, like the TI-83, 83+, or 84, by evaluating at various x values.

Step-by-step explanation:

To determine if two functions are inverses of each other using a calculator, you would compose one function with the other (i.e., find (f·g)(x) and (g·f)(x)) and check if the result simplifies to x in both cases. For instance, if you have the exponential function f(x) = e^x and its inverse function, the natural logarithm g(x) = ln(x), composing them would give f(g(x)) = e^(ln(x)) and g(f(x)) = ln(e^x), both of which simplify to x, confirming that they are inverse functions. If using a calculator like the TI-83, 83+, or 84, this process can be done numerically by evaluating the compositions at various values of x. If the original value of x is always obtained as the result, then the two functions are inverses.

User Andy Dobedoe
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