1.

Determine the inverse function and its domain of definition, if (a) y=tan hx, ""(b) y={{:(,x,"if "-oo lt x lt 1),(,x^(2),"if "1 le x le 4),(,2^(x), "if "4 lt x lt oo):}.

Answer»


ANSWER :(a) `X=1/2 ln (1+y)/(1-y) (-1 lt y lt 1);`
(B) `x={{:(,y,"for "-oo lt y lt 1),(,log_(2)" for "16 lt y lt oo):}`


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