Question

Given g(x)= 2/x+3 find g(-3)

Answer 1

If
`g(x)=(2)/(x) +3`

Find g(-3), this means that you need to find g(x) or y when x = -3.

`g(x)=(2)/(x) +3` Substitute/plug in -3 into "x" since x = -3

`g(-3)=(2)/(-3) +3` To combine fractions, they must have the same denominator. Multiply 3 by -3/-3 so that the denominators are the same.

`g(-3)=(2)/(-3) +3((-3)/(-3) )`

`g(-3)=(2)/(-3) +(-9)/(-3)` Now combine the fractions

`g(-3)=(-7)/(-3)` (two negative signs cancel each other out and become positive)

`g(-3)=(7)/(3)`

If
`g(x)=(2)/(x+3)` , plug in -3 into "x"

`g(-3)=(2)/(-3+3)`

`g(-3)=(2)/(0)`

g(-3) = Undefined

When a number is divided by 0, the answer is undefined.