#f(x)=3x-1# and #g(x)=x-2#. How do you solve #(f/g)(x)#?

1 Answer
Oct 23, 2017

Answer:

#x=1/3#

Refer to the explanation for the process.

Explanation:

#f(x)=3x-1#

#g(x)=x-2#

#(f/g)(x)# means to divide the expression for #f(x)# by the expression for #g(x)#.

#(f/g)(x)=(3x-1)/(x-2)#

Set #(f/g)(x)# equal to #0#.

#0=(3x-1)/(x-2)#

Multiply both sides by #(x-2)#.

#0(x-2)=(3x-1)/color(red)cancel(color(black)((x-2)))^1xxcolor(red)cancel(color(black)((x-2)))^1#

Simplify.

#0=3x-1#

Switch sides.

#3x-1=0#

Add #1# to both sides.

#3x=1#

Divide both sides by #3#.

#x=1/3#