The functions \(f\), \(g\), and \(h\) are defined as shown. If \(f(x)…

Question

Prompt

The functions

f

g

, and

h

are defined as shown. If

f (x) \cdot g (x) - h (x) = a x^{2} + b x + c

, where

a

b

, and

c

are constants, what is the value of

b

f (x) = 2 x + 5

g (x) = 5 x - 4

h (x) = 2 x + 3