Let , , and . Define F(x)= f(x)g(x)-h(x) g(x) . Simplify and hence find…

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

Problem

Let

f(x)=x^{2}+1

g(x)=x-2

, and

h(x)=x+2

. Define

F(x)=\dfrac{f(x)g(x)-h(x)}{g(x)}.

Simplify

F(x)

and hence find

F(3)

. (a)

10

(b)

5

(c)

9

(d)

1