The functions \(f\) and \(g\) are given. In function \(g\), \(r\) is …

Question

Prompt

The functions

f

and

g

are given. In function

g

r

is a constant. If

f (x) \cdot g (x) = 7 x^{3} + 189

, what is the value of

r

f (x) = x + 3

g (x) = 7 x^{2} - r x + 63