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For functions:

f(x)= (x+1)/(x-1)

g(x)= 1/x

Find:

A. f+g

I got 2x+2/x^2-x

B. f-g

I got 0

C. f*g

I got x+1/x^2-x

D. f/g

I got x^2+1/x-1

E. f o g (x)

I got 2x/1-x

These ones I am having difficulty with, sorry for not showing my work, some answers would be very much appreciated though.

Multiply:

a. (x^2-2)^3

b. (x^2+3x+5)(x+2)

c. (2x^2-6x)(2x-4)

Divide and define restrictions:

a. (2x^3-x^2+2x-3) / (x-1)

b. (x^5-x^4-4x^3+8x^2-32x+48) / (x^2+4)

c. (x^5-1) (x-1)

Thanks again for the help, hopefully this is just the forum I was looking for!