Problema Solution
Let f, g, and h be three functions defined as
f(x)=6x^2-19x+3
g(x)=7x-6/6x-1
h(x)=7x^2+15x-18
Find, and if possible, simplify
(h/fg)(x)
Please show all of your work.
Answer provided by our tutors
first find fg:
(6x2-19x+3)(7x-6)/(6x-1)
factor the numerator
(6x-1)(x-3)(7x-6)/(6x-1)
this simplifies to:
(x-3)(7x-6)
now take h over this:
(7x2+15x-18)/(x-3)(7x-6)
factor the numerator:
(7x-6)(x+3)/(x-3)(7x-6)
which simplifies to:
(x+3)/(x-3)