Determine the largest set on which the function is continuous. $F ( x , y ) = \arctan ( 10 x + 8 \sqrt { y - 5 } )$
A) $\{ ( x , y ) \mid y \geq 5 \}$
B) $\{ ( x , y ) \mid y \leq 0 \}$
C) $\{ ( x , y ) \mid x \geq 1 \}$
D) $\{ ( x , y ) \mid x \geq 0 \}$
E) $\{ ( x , y ) | y \geq 3 , | 10 x + 8 \sqrt { y } \mid \leq 1 \}$

Question

Quizplus · Accepted Answer

The function is continuous where the expression inside the arctan is defined, which requires $y - 5 \geq 0$ or $y \geq 5$.

Determine the Largest Set on Which the Function Is Continuous F(x,y)=arctan⁡(10x+8y−5)F ( x , y ) = \arctan ( 10 x + 8 \sqrt { y - 5 } )F(x,y)=arctan(10x+8y−5​)

Determine the Largest Set on Which the Function Is Continuous $F ( x , y ) = \arctan ( 10 x + 8 \sqrt { y - 5 } )$