find the domain of this function?
Posted on Mar 24, 2008 under domain news and reports | 5 Commentsg(t)= sin (e^-t)
g(t)= sin (e^-t)
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let f be a function that is differentiable throughout its domain and that has the following properties.
i.f(x+y)=(f(x)+f(y))/(1-f(x)f(y)), for all real numbers x,y, and x+y in the domain of f.
ii. lim as h–>inf. of f(h)=0
iii. lim as h–>inf. of f(h)/h=1
a. show that f(0)=0
b. use the definition of the derivatvie to show that f'(x)=1+(f(x))^2.
c. find f(x) by solving the differential equation in part (b).
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