AP

MATHEMATICS · Multi-part · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Let

f(x) = x^2 + 4x + 3

. (1) Find the axes intercepts and vertex of

f(x)

. (2) Sketch

y = f(x)

and

y = \frac{1}{f(x)}

on the same set of axes. (3) Solve for

x

\frac{1}{f(x)} = \frac{4}{21}