Question

State the domain, vertical asymptote, and end behavior of the function.

g(x)=ln(2x+16)+1.3

Answer 1

Explanation:

DOMAIN

2x + 16 > 0

2x > -16

2/2 x > -16/2

x > -8

D = (-8, +oo)

VERTICAL ASYMPTOTE

x = -8

END BEHAVIOUR

lim x-> +oo ln(2* oo + 16) + 1.3

ln(oo+16) + 1.3

ln (oo) + 1.3

oo + 1.3

oo

lim x -> +oo

+oo

lim x -> -8+ ln(2 * -8+ + 16) + 1.3

ln(-16+ +16) + 1.3

ln(0+) + 1.3

-oo + 1.3

-oo

lim x-> -8+

-oo