Desmos Graphing Calculator

CalcReferenceCopy

Math·Advanced Math·Equivalent expressions

easy

The functions $f$, $g$, and $h$ are defined as shown.
$$\begin{gathered} f(x)=2x+5 \\ g(x)=5x-3 \\ h(x)=2x+3 \end{gathered}$$
If $f(x)\cdot g(x)-h(x)=a{x}^2+bx+c$, where $a$, $b$, and $c$ are constants, what is the value of $b$?

A

-2

B

17

C

21

D

29