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

question 101

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

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