1) The function f(x) has an x-intercept at "a" and a y-intercept at "b". Where are the x and y intercepts of f(1/2x).

My solution:

y = mx + b => 0 = mx + b => -b/m = x

y = mx +b => y = m(0) + b => y = b

Is it correct?

2) Simply using identities. Should contain only one trigonometric function and should not contain any fraction

a) (csc(x) cos^2(x)) / (1 + csc(x))

b) (1/(sec(x) + 1)) - (1/(sec(x) - 1))