# What is the equation of the line normal to # f(x)=(x-4)(x-2)+2x^2-3x+4# at # x=0#?

##### 1 Answer

#### Explanation:

Let's simplify the function first.

As next, to find the slope of the tangent and normal line, we need to compute the derivative of the function:

Evaluating the derivative at

The slope of the normal line at

Now, we have the slope of the normal line and we have the

The normal line can be described via the line equation

Plug the values

So, the equation of the normal line is