Determine the Continuity of the Composite Function $f \circ g \text { where } f ( t ) = \frac { 1 } { t } \text { and }$

Multiple Choice

Determine the continuity of the composite function $f \circ g \text { where } f ( t ) = \frac { 1 } { t } \text { and }$ $g ( x , y ) = 5 x - 8 y$

A) continuous except at $\left( 0 , \frac { 5 } { 8 } \right)$
B) continuous for all $y \neq \frac { 5 } { 8 } x$
C) continuous for all $y = \frac { 5 } { 8 } x$
D) continuous except at $\left( \frac { 8 } { 5 } , \frac { 5 } { 8 } \right)$
E) continuous everywhere