What a Function!!!

Algebra Level 2

Let the function ƒ be defined by ƒ(t) = 6t for all numbers t. Which of the following is equivalent to ƒ(t - r).

6t - r 36tr 12(t - r) 6t - 6r

1 solution

Kevin Mo
Sep 10, 2014

In $f(t) = 6t$ , variable $t$ is merely a placeholder for the inputted expression. $t-r$ is the inputted expression, so the result should be

$f(t-r) = 6(t-r)$

after substitution. Distribute, and your final answer should be $6t-6r$ .