MaplePrimes - answers and comments on Question, function & domain & range

You may use Maple's syntax (for homework?)

Axel Vogt — Fri, 30 Nov 2012 02:38:13 Z

You may use Maple's syntax to formulate your task

f:= x -> x^2+2*x;
solve(f(x+1));

Kitonum — Fri, 30 Nov 2012 02:51:50 Z

In Maple a function can be specified as follows:

f:=x->f(x)

For your example:

f:=x->x^2+2*x:

f(x+1);

(x+1)^2+2*(x+1)

The natural domain and the range of the function x->sqrt(x+1) of real variable x can be found as follows:

Domain:=solve(x+1>=0);

r:=convert(domain, list);

Range=minimize(sqrt(x+1), x=r[1]..r[2])..maximize(sqrt(x+1), x=r[1]..r[2]);

Domain:=RealRange(0, infinity)

r:=[-1, infinity]

Range=0..infinity

toandhsp — Fri, 30 Nov 2012 11:13:44 Z

I see, the line r:=convert(domain, list); should be repair r:=convert(Domain, list);