Question

Show that gh(-2)= 14 g(x) 2x+1/x-1 and h(x) 4x+3/x-2

Is it 2(4x+3/x-2)/x-1 and i work from there?

Answer 1

if g(x)=(2x+1)/(x-1)
and h(x)=(4x+3)/(x-2)

then

g(h(-2))=g(-5/-4)=g(5/4)

g(5/4)=(10/4+1)/(-1/4)=-14 if I didn't make a mistake, check me.

Answer 2

I will assume that by gh(-2) you mean
g(f(-2))
first do f(-2)
= -5/-4 = 5/4

now do g(5/4) = (5/2 + 1)/(5/4 - 1)
= (7/2)/(1/4)
= (7/2)(4/1)
= 14

Answer 3

I agree with Reiny on the +14.