Question

Find the domain of the function g(x)= 4/x^2 +3x +2. Write your answer in set builder notation

Answer 1

`\x`

Explanation:

The denominator cannot equal 0 because division by zero is undefined.

`x^2 + 3x+2 \\eq 0 \implies (x+1)(x+2) \\eq 0 \implies x \\eq -1, -2`

`\therefore \x \\eq -2, -1 \`

Answer 2

`\x`

Explanation:

The denominator cannot equal 0 because division by zero is undefined.

`x^2 + 3x+2 \\eq 0 \implies (x+1)(x+2) \\eq 0 \implies x \\eq -1, -2`

`\therefore \x \\eq -2, -1 \`