Answer:
[tex]f(7)=\frac{-5}{3}[/tex] or [tex]f(7)=-1.67[/tex]
Step-by-step explanation:
We are given the following function of x and we are to find the value of [tex] f ( 7 ) [/tex]:
[tex] f ( x ) = \frac { 3 } { x + 2 } - \sqrt { x - 3 } [/tex]
Substituting the given value (7) in the above function to get:
[tex]f(x)=\frac{3}{x+2}-\sqrt{x-3}[/tex]
[tex] f ( 7 )= \ frac{3}{7+2}-\sqrt{7-3}[/tex]
[tex] f(7) = \frac { 3 } { 9 } - \sqrt { 4 } [/tex]
[tex]f(7)=\frac{1}{3}-2[/tex]
[tex]f(7)=\frac{1}{3}-\frac{6}{3}[/tex]
[tex]f(7)=\frac{-5}{3}[/tex] or [tex]f(7)=-1.67[/tex]
