For which values of x is the expression undefined?
start fraction, 7, x, plus, 7, divided by, 9, x, plus, 36, end fraction
9x+36
7x+7
The expression is undefined when the denominator is equal to zero because division by zero is undefined in mathematics. Therefore, the expression is undefined for values of x that make the denominator 9x + 36 equal to zero.
To find the values of x that make the denominator zero, we solve the equation 9x + 36 = 0.
Subtract 36 from both sides: 9x = -36
Divide both sides by 9: x = -36/9
Simplify: x = -4
Therefore, the expression is undefined for x = -4.