Question

Let q(t) = 29t and r(t) = t/29. Which method could be the first step in proving that q(t) and r(t) are inverse functions?

Replace the t in the expression for q(t) with t/29, and replace the t in the expression for r(t) with 29t.



Replace the 29t in the expression for q(t) with t, and replace the t/29 in the expression for r(t) with t.



Replace the t in the expression for q(t) with 29t, and replace the t in the expression for r(t) with t/29.



Replace the 29t in the expression for q(t) with t/29, and replace the t/29 in the expression for r(t) with 29t.

Answer 1

A

Explanation:

Answer 2

Replace the t in the expression for q(t) with t/29, and replace the t in the expression for r(t) with 29t.

Explanation:

Given q(t) = 29t and r(t) = t/29, to show that q(t) and r(t) are inverse of each other, we can simply find q(r(t) and r(q(t))

To find q(r(t):

q(r(t)) = q(t/29)

q(t/29) is gotten by replacing t in q(t) with t/29 as shown;

q(t/29) = 29(t/29)

q(t/29) = 29t/29

q(t/29) = t

Also for r(q(t)):

r(q(t)) = r(29t)

r(29t) is gotten by replacing t in r(t)/with 29t as shown;

r(29t) = 29t/29

r(29t) = t

Since r(q(t)) = q(r(t)) = t, this shows that they are inverses of each other.