Question

Add the given expressions, simplifying each result and noting the combined excluded values.

6/4+x + 4-x/x
and the combined excluded values are
The sum of the given expressions is
x= and x=

Answer 1

The sum of the given expressions is
`((2+x)(8-x))/(x(x+4))`

x = 0 and x = -4

Explanation:

we need to find the sum of the given expressions

`(6)/(4+x) +(4-x)/(x) \\= (6*x+(4-x)(4+x))/((4+x)*x) \\=(6x+16-x^2)/(x(x+4)) \\=(16+6x-x^2)/(x(x+4)) \\=((2+x)(8-x))/(x(x+4))`

To find excluded values:

x ( 4 + x ) = 0

x = 0 and 4 + x = 0

∴ x = 0 and x = -4