Question

Let the function q be given by q(x) = -2(-3x + 2) and let y be the image of x under q. Find the formula for q-1.

Answer 1

Given:-

$q(x)=-2(-3x+2)$

To find:-

$q^{\prime}(x)$

So now ,

$y=-2(-3x+2)$

So now we find the value of x. so we get,

$\begin{gathered} y=-2(-3x+2) \\ y=6x-4^{} \\ y+4=6x \\ \frac{y+4}{6}=x \end{gathered}$

So the required solution is,

$q^{\prime}(x)=\frac{y+4}{6}$