If the range of the function

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

f(x)=\frac{x^2+x+c}{x^2+2x+c}

, where

x\in\mathbb{R}

, is

\left[\frac{5}{6},\frac{3}{2}\right]

, then

c

is equal to (a)

-4

(b)

3

(c)

4

(d)

5