\(f(x) = \sqrt{4*sin(x)+2}\)
\(f(0) = \sqrt{4*sin(0)+2}\)
Now what is the sine of 0?
We can take a look at the Unit Circle, angle 0. On the Unit Circle, sine of 0 is 0 (also because: (cos, sin), and sin = y, and angle 0 is 0 on the y-axis.)
\(f(0) = \sqrt{4*0+2}\)
\(f(0) = \sqrt{2}\)
Hope this helps!