Let
a. Show that for all
cross multiply
combine like terms
take natural log
Note that this is not what you posted, you said when x = 0, f(x) > 1/2. But we have that this is not true. It can be verified by plugging in 0 and seeing that your initial criteria are not correct:
and since 1/2 is not greater than 1/2, your initial criteria should have been either
a. Show that for all
or
a. Show that for all