Question

If f(x)= 3/x+2-sqrt x-3, complete the following statement:
f(19)=

Answer 1

The answer is: $f(19)=-3\frac{6}{7}$

Explanation

Given function is:   $f(x)= \frac{3}{x+2}-\sqrt{x-3}$

For finding the value of $f(19)$, we just need to plug $x=19$ into both sides of the above function and then simplify the right side. So.....

$f(19)=\frac{3}{19+2}-\sqrt{19-3}\\ \\ f(19)=\frac{3}{21}-\sqrt{16}\\ \\ f(19)=\frac{1}{7}-4\\ \\ f(19)= \frac{1-28}{7}=-\frac{27}{7}=-3\frac{6}{7}$

So, the value of $f(19)$ will be $-3\frac{6}{7}$