SOLUTION: What are the coordinates of the apex of: (f*g)(x) if f(x)=x^2+4 and g(x)=x-3

Question 154762: What are the coordinates of the apex of:
(f*g)(x) if f(x)=x^2+4 and g(x)=x-3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Do you mean the vertex?

Start with the given expression

Rewrite the function combination

Plug in and

Now let's FOIL the expression.

Remember, when you FOIL an expression, you follow this procedure:

Multiply the First terms:.

Multiply the Outer terms:.

Multiply the Inner terms:.

Multiply the Last terms:.

Now collect every term to make a single expression.

So FOILs to .

This means that

Since we're looking at a cubic, this means that the polynomial does not have a vertex. Are you sure that you have the right problem?
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