Let q(t) = 29t and r(t) = StartFraction t Over 29 EndFraction. 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 StartFraction t Over 29 EndFraction , 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 StartFraction t Over 29 EndFraction 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 StartFraction t Over 29 EndFraction. Replace the 29t in the expression for q(t) with StartFraction t Over 29 EndFraction , and replace the StartFraction t Over 29 EndFraction in the expression for r(t) with 29t.

Step-by-step explanation:

Given q(t) = 29t and r(t) = , to prove that q(t) and r(t) are inverse functions, we need to write them as composition of each other i.e we have to check if

q{r(t)} = r{q(t)}

First step in finding q{r(t)} is to replace t in q(t) with r(t) =  as shown;

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

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

q{r(t)} = 29*t/29

q{r(t)} = t

Similarly the first step in finding r{q(t)} is to replace t in r(t) with q(t) = 29t as shown;

r{q(t)} = r(29t)

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

r{q(t)} = t

Hence the method that could be the first step in proving that q(t) and r(t) are inverse functions is to replace the t in the expression for q(t) with t/29 and replace the t in the expression for r(t) with 29t as shown in the calculation.

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step-by-step explanation: