Simplify the expressions:

Pls check attachment

2) a) Find the equation of a circle centered at the point (3,4) with radius 5.

b) Is the point (0,0) on the above circle ?

3) Find the domain of the functions

f(x)=sqrt16-x2

g(x)= 1/x2-4

4) a) Graph the functionf(x)=x2-2

b) Find the equation of the function whose graph is the graph of f, shifted by 3 to the right.

c) Find the equation of the function whose graph is the graph of f, shifted up by 3.

5) a) Find the two roots (solutions) of the quadratic equation

(x+1)2 + 4 = 0 (hint: they are complex numbers)

b) Calculate the product of the two roots.