Function composition problem

palmstierna

New member
Joined
Jul 20, 2018
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1
Hello,

I badly need help with a question..

Just to start of by defining the functions.

f: Q -> R where f(x) = 0,2cos(pi*x)-7
g: N -> Q where g(x) = 5x/2

h(x) = f(g(x)) therefore h(x)= 0,2cos(5x*pi/2)-7

a) What is the range of h?
b) What is the domain of h?
c) Is h surjective?

I would be very glad if anyone could help me out..
 
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