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 and show all work

 

(h/fg)(x)
in Algebra 2 Answers by Level 1 User (160 points)

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1 Answer

fg(x)=(6x2-19x+3)(7x-6)/(6x-1).

6x2-19x+3=(6x-1)(x-3), so fg(x)=(x-3)(7x-6)=7x2-27x+18.

h(x)=7x2+15x-18=(7x-6)(x+3).

h/fg(x)=(7x-6)(x+3)/((x-3)(7x-6))=(x+3)/(x-3).

by Top Rated User (1.1m points)

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