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If g(x) =x+1/x-2 what is the value of (g . h) (-3)?

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If g(x) =x+1/x-2 what is the value of (g . h) (-3)? 8/5 5/2 15/2 18/5-example-1
User Juan
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g(x)=\cfrac{x+1}{x-2}\hspace{5em}h(x)=4-x\hspace{5em}(g\circ h)(-3)=g( ~~ h(-3) ~~ ) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ h(-3)=4-(-3)\implies h(-3)=4+3\implies h(-3)=7 \\\\[-0.35em] ~\dotfill\\\\ g( ~~ h(-3) ~~ )\implies g(7)=\cfrac{7+1}{7-2}\implies g(7)=\cfrac{8}{5}\impliedby (g\circ h)(-3)

User Kerrion
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