Question

Find the values of x for which x+1/3x+12 is defined

Answer 1

Explanation:

The expression

`(x + (1)/(3x + 12))`

is defined for all real values of (x) except when the denominator ( 3x + 12 ) equals zero because division by zero is undefined.

So, to find the values of (x) for which the expression is defined, set the denominator (3x + 12) not equal to zero and solve for (x):

`\[3x + 12 \\eq 0\]</p><p>\[3x \\eq -12\]</p><p>\[x \\eq -4\]`

Therefore, the expression

`(x + (1)/(3x + 12))`

is defined for all real values of (x) except (x = -4).