Answer:
[tex]\frac{\sqrt{15} }{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{f(\frac{3}{2} )[/tex] , substitute [tex]\frac{3}{2}[/tex] to x
[tex]f(\frac{3}{2} )=4(\frac{3}{2} )-(\frac{3}{2} )^2[/tex] = [tex]\frac{15}{4}[/tex] or 3.75
[tex]\sqrt{f(\frac{3}{2} )[/tex]=[tex]\sqrt{3.75}[/tex] = [tex]\frac{\sqrt{15} }{2}[/tex]