How do you find $w(t^2)$ given $w(t)=t^2-5$ ?

Question

2163 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-28T15:38:14

$w(t^2)=t^4-5$

If the question was find $w(3)$ , we would replace $t$ with 3 and compute:

$w(3)=3^2-5$

$w(3)=9-5$

$w(3)=4$

In this case, let's replace $t$ with $t^2$ :

$w(t^2)=(t^2)^2-5$

Using the exponential law:

$(a^m)^n=a^(mn)$

$w(t^2)=t^4-5$

How do you find w(t^2)w(t^2) given w(t)=t^2-5 w(t)=t^2-5 ?