Given the rational function: g(x)=3x-2/x-4...find all its x-intercepts, the y-intercepts, give equations of all the vertical asymptotes(if any) and an equation of the horizontal asymptote(if any). Then solve the inequality. Please HELP!

Question

anonymous · Answer

y-intercepts are where x's equal 0 so if you plug in zero and solve it would be 1/2.  x-intercepts are the opposite so make just the numerator equal to zero so 3x-2=0 and solve for it to be 2/3.

vertical asymptotes are where the denominator equals zero or where it's undefined so x-4=0 and it should be 4. the horizontal asymptote is 3. it's where deg p=deg q in this case. this isn't an inequality so that would be it.

anonymous · Answer

thank you !(: