The function is defined by .

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

Problem

The function

F

is defined by

F(x)=\dfrac{5x-1}{2x+3}+4

. (i) Determine the domain of

F

. (ii) By solving

F(x)=y

for

x

, show that

y=\dfrac{13}{2}

is not attained by the function. (iii) Write the complete range of

F

in interval notation.