Posted by Hannah on .
1)(1cos^2x)(csc x) ?
Is this equal to sec x?
2) Expand: log7 3 sqrt x / x^2y
3) Find and simplify: f(g)
F(x) = x^2 + 2x g(x) = 2x
x^2 + 2x(2x) = x^2 + 4x
Is this correct?

PreCal(Please help) 
Reiny,
1) (1cos^2x)(csc x)
= sin^2 x (1/sinx) = sinx
2) log _{7}(3√x/x^(2y))
= log _{7} 3 + (1/2)log _{7} x  (2y)log _{7} x
= log _{7} 3 + (1/2  2y)log _{7}
for 3) did you want to find f(g(x)) ??
what you typed would simply be
f(g) = g^2 + 2g
if it is f(g(x))
then
= (2x)^2 + 2(2x) = 4x^2 + 4x