Parametric Equations

[swim4it52]

you are given two parametric equations x = f(t) , y = g(t) where (-infinity < t < infinity). they represent a one to one function

a. does the following represent a one to one function? if so, give example. if not, counterexample

x = f(h(t))
y = f(h(t)) (-infinity < t < infinity)

b. does the following represent a one to one function? if so, give example. if not, counterexample

x = h(f(t))
y = h(g(t)) (-infinity < t < infinity)
Can you please explain to me how to do this? I get so confused when it comes to parametric equations.

 

[Gene]

Counter example for all since it doesn't say h is one to one.
h(t)=2
a) x=f(2) for any t: Many to one.
b) x=2 for any t: Many to one.
(I think :twisted: )