The functions $f$ and $g$ are given: $f(x)=x+4$, $g(x)=3x^{2}-rx+48$.…

Question

Prompt

The functions

f

and

g

are given:

f (x) = x + 4

g (x) = 3 x^{2} - r x + 48

. In function

g

r

is a constant. If

f (x) \cdot g (x) = 3 x^{3} + 192

, what is the value of

r