Question

If f(x) = 3/x+2-square root x-3, complete the following statement (round your answer

to the nearest hundredth):

F(7)=?

Answer 1

`f\left(7\right)=-(5)/(3)`

Explanation:

Given the function

`f\left(x\right)=(3)/(x+2)-√(x-3)`

substitute x = 7 to find f(7)

`f\left(7\right)=(3)/(7+2)-√(7-3)`

`f\left(7\right)=(3)/(9)-√(4)`

`f\left(7\right)=(1)/(3)-2`

`f(7)=(-5)/(3)`

Apply the fraction rule:
`(-a)/(b)=-(a)/(b)`

`f\left(7\right)=-(5)/(3)`

Therefore,

`f\left(7\right)=-(5)/(3)`