Determine all real values of the variable for which the function has the value indicated.
-$$g ( x ) = x ^ { 2 } + 4 x + 11 , g ( x ) = 23$$
A)-2, 6
B)-6, 2
C) $$\frac { 4 \pm \sqrt { 23 } } { 2 }$$
D)no real numbers

Question

Quizplus · Accepted Answer

To find the values of x for which g(x) = 23, solve the equation x^2 + 4x + 11 = 23. Simplifying gives x^2 + 4x - 12 = 0. Factoring gives (x + 6)(x - 2) = 0, so x = -6 or x = 2.

Determine All Real Values of the Variable for Which the Function