Question

What is the oblique (slant) asymptote of the function f(x) = the quantity of x squared plus 7 x plus 11, all over x plus 5? Help me please.

Answer 1

\[\frac{ x^2+7x+11 }{ x+5 }\]

Answer 2

Answer Choices:
A. y = x + 1
B. y = x − 2
C. y = x + 4
D. y = x + 2

Answer 3

@tom982 @phi help me?

Answer 4

@Hero @dan815 @Jaynator495

Answer 5

@SolomonZelman

Answer 6

divide x+5 into the top expression

Answer 7

you will get
\[f(x)= x+2 + \frac{1}{x+5} \]
(the last term comes from writing the remainder over the divisor)

for x very big, 1/(x+5) becomes a small number, and you have (approximately) the equation
y=x+2
(though it never exactly equals that because 1/(x+5) only gets close to zero, it never becomes zero)

Answer 8

Thank you.