Question

Find the domain for the expression:
y/y-5 + 1/y+8

Answer 1

1/y+4

Explanation:

1-5+1/y+8

1/y+(1-5+8)

1/y+4

Answer 2

`(y)/(y) - 5 + (1)/(y) + 8`

→
`(1 - 5) + (1)/(y) + 8`

→
`-4 = ( - 4)/(1) = ( - 4 \: • \: y)/(y)`

→
`( - 4 \: • \: y + 1)/(y) = (1 - 4y)/(y)`

→
`((1 - 4y))/(y) + 8`

→
`8 = (8)/(1) = (8 \: • \: y)/(y)`

→
`((1 - 4y) + 8 \: • \: y)/(y) = (4y + 1)/(y)`

→
`(4y + 1)/(y)`