Question

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

Answer 1

To find f(19) for the function f(x) = 3/x + 2 - √(x - 3), we substitute 19 into the function and simplify to get f(19) = -1.8421, rounded to four decimal places.

Step-by-step explanation:

To evaluate the function f(x) = 3/x + 2 - √(x - 3) at x = 19, we simply substitute 19 for x in the function's formula:

f(19) = 3/19 + 2 - √(19 - 3)

First, solve inside the square root and the division:

• √(19 - 3) = √16 = 4
• 3/19 = 0.1579 (rounded to four decimal places)

Then, combine all parts of the function:

f(19) = 0.1579 + 2 - 4

And finally, perform the addition and subtraction:

f(19) = 2.1579 - 4 = -1.8421 (rounded to four decimal places)

Therefore, f(19) = -1.8421 when rounded to four decimal places.

Answer 2

The answer is:
`f(19)=-3(6)/(7)`

Explanation

Given function is:
`f(x)= (3)/(x+2)-√(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)=(3)/(19+2)-√(19-3)\\ \\ f(19)=(3)/(21)-√(16)\\ \\ f(19)=(1)/(7)-4\\ \\ f(19)= (1-28)/(7)=-(27)/(7)=-3(6)/(7)`

So, the value of
`f(19)` will be
`-3(6)/(7)`