# How do you find k(-3t) given k(t)=-4t+2?

Jan 28, 2017

$k \left(- 3 t\right) = - 12 t - 6$

#### Explanation:

The purpose of the letter k within the context of $k \left(t\right)$ is that it is an identifyer for a particular structure of equation using the variable $t$

A different structure could for example be given the identifying name of $g \left(x\right)$. Yet another structure could be given the identifying name of $h \left(x\right)$.

Suppose $h \left(x\right) = 3 {x}^{2} - 5 x + 2$ then $h \left(t\right) = 3 {t}^{2} - 5 t + 2$
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Just for the sake of clarity set $\text{ } k \left(t\right) = s = - 4 t + 2$

So$\text{ } k \left(- 3 t\right) = - 3 s = - 3 \left(4 t + 2\right) = - 12 t - 6$