Suppose that f(x)=((7x-6)/(x+5))

Question

d.) Use interval notation to indicate where f(x) is increasing or decreasing.

Increasing: Decreasing: empty set

Answer 1

derivative : [(x+5)(7) - (7x-6)] / (x+5)^2

( 7x + 35 - 7x + 6)/ (x+5)^2

41/(x+5)^2

this function is NEVER negative and cannot be zero.

therefore the function is ALWAYS increasing.

x=-5 is the vertical asymptote, so it's not in the domain

increasing (-infinity,5) U (5,infinity)