Question

If f(x)= x/x-3 and g(x)= 2x -1, find (f-g)(x)

Answer 1

\(\bf f(x)=\cfrac{x}{x-3}\qquad g(x)= 2x -1
\\ \quad \\
(f-g)(x)\implies f(x)-g(x)\implies \cfrac{x}{x-3}\quad -\quad 2x -1\)

Answer 2

and then what? i got that far but the ending result needs to be a fraction @jdoe0001

Answer 3

yes.... well.. get the LCD and add them up

Answer 4

\(\bf f(x)-g(x)\implies \cfrac{x}{x-3}\quad -\quad 2x -1\implies \cfrac{x}{x-3}\quad -\quad \cfrac{2x}{1}-\cfrac{1}{1}\) got LCD?

Answer 5

ugh no. is it x-3 or is it 1

Answer 6

or none of those

Answer 7

hmmm well.... is a "value you can divide all those by"
so in short , if not found quickly
you can always just multiply them all and and that'd be the LCD so \(\bf (x-3)\cdot 1\cdot 1\implies 1(x-3)\implies (x-3)\)

Answer 8

i got it thanks! :)

Answer 9

yw