Given
[tex]f(x)=\frac{3}{x+2}-\sqrt[]{x-3}[/tex]
Set x=7 and simplify as shown below
[tex]\begin{gathered} \Rightarrow f(7)=\frac{3}{7+2}-\sqrt[]{7-3} \\ =\frac{3}{9}-\sqrt[]{4} \\ =\frac{1}{3}-2 \\ =-\frac{5}{3} \\ \Rightarrow f(7)=-\frac{5}{3} \end{gathered}[/tex]
Rounding to the nearest hundredth,
[tex]\Rightarrow f(7)\approx-1.67[/tex]
The rounded answer is -1.67
