The expression f(19) tells us to plug in "19" as the value of x in the f(x) function.
[tex]\begin{gathered} f(x)=\frac{3}{x+2}-\sqrt[]{x-3} \\ f(19)=\frac{3}{19+2}-\sqrt[]{19-3} \end{gathered}[/tex]
Then, simplify.
a. Add the denominator and subtract the numbers inside the parenthesis.
[tex]f(19)=\frac{3}{21}-\sqrt[]{16}[/tex]
b. Get the square root of 16.
[tex]f(19)=\frac{3}{21}-4[/tex]
c. Subtract the two numbers.
[tex]f(19)=-\frac{27}{7}[/tex]
Therefore, f(19) = -27/7.
