Question

For what values of `t` would `f(t)=2` if `f(t)=3t^2-11t-2`?

Answer 1

We set `y` to `2` and solve.

`2 = 3t^2 - 11t - 2`

`0 = 3t^2 - 11t - 4`

`0 = 3t^2 - 12t + t - 4`

`0 = 3t(t - 4) + 1(t - 4)`

`0 = (3t + 1)(t - 4)`

`t = -1/3 and 4`

Hopefully this helps!