Inverse of a Function — Quiz

Question 10 • Precalculus

Let q times t is equal to 29 t and r times t is equal to t over 29 Which method could be the first step in proving that q times t and r times t are inverse functions?

Answer

Replace the t in the expression for q times t with t over 29 , and replace the t in the expression for r times t with 29 t .

Replace the t in the expression for q times t with 29 t , and replace the t in the expression for r times t with t over 29 .

Replace the 29 t in the expression for q times t with t , and rplace the t over 29 in the expression for r times t with t .

Replace the 29 t in the expression for q times t with t over 29 , and replace the t over 29 in the expression for r times t with 29 t .

Explanation

To show two functions are inverses, check both compositions by substituting each function into the other. In q(r(t)), replace the input t in q(t) = 29t with r(t) = t/29; in r(q(t)), replace the input t in r(t) = t/29 with q(t) = 29t. This is the method described in choice A.

AI-written and checked against the verified answer.

Back to All Questions

More from this Course

Quiz

Quiz

Quiz