Find domain of the following function. $$g ( x ) = \frac { x ^ { 2 } - 16 } { x ^ { 2 } - 5 x + 4 }$$
A) all real numbers $x$ except $x = - 16$ and $x = - 1$
B) all real numbers $x$ except $x = - 5$ and $x = 4$
C) all real numbers $x$ except $x = 5$ and $x = 16$
D) all real numbers $x$ except $x = 4$ and $x = 1$
E) all real numbers $x$ except $x = - 4$ and $x = 1$

Question

Find domain of the following function. $$g ( x ) = \frac { x ^ { 2 } - 16 } { x ^ { 2 } - 5 x + 4 }$$ 
A) all real numbers $x$ except $x = - 16$ and $x = - 1$
B) all real numbers $x$ except $x = - 5$ and $x = 4$
C) all real numbers $x$ except $x = 5$ and $x = 16$
D) all real numbers $x$ except $x = 4$ and $x = 1$
E) all real numbers $x$ except $x = - 4$ and $x = 1$

Quizplus · Accepted Answer

The domain of the function is all real numbers except those that make the denominator equal to zero. Factoring the denominator $x^2 - 5x + 4 = (x - 4)(x - 1)$, we find that the function is undefined for $x = 4$ and $x = 1$, making D the correct choice.

Find Domain of the Following Function g(x)=x2−16x2−5x+4g ( x ) = \frac { x ^ { 2 } - 16 } { x ^ { 2 } - 5 x + 4 }g(x)=x2−5x+4x2−16​

Find Domain of the Following Function $g ( x ) = \frac { x ^ { 2 } - 16 } { x ^ { 2 } - 5 x + 4 }$