Respuesta :

To get the answer, you need to solve the equation for x = 7.

f(7) = 3/7 + 2 - sqrt(7) - 3.

= 3/7 - 1 - sqrt(7).

If you need to simplify it further:

= -4/7 - sqrt(7).

If you need it in decimal form:  = -3.2171798824

Answer:

f(7)=-3.217

Step-by-step explanation:

We are given that [tex]f(x)=\frac{3}{x}-\sqrtx-3[/tex]

We have to find the value of f(7).

Substitute the value of x=7

Then, we get

[tex]f(7)=\frac{3}{7}+2-\sqrt7-3=\frac{3}{7}-1-\sqrt7[/tex]

[tex]f(7)=\frac{3-7}{7}-\sqrt7=-\frac{4}{3}-\sqrt7[/tex]

[tex]f(7)=-\frac{4}{7}-2.646[/tex]

Because [tex]\sqrt7=2.646[/tex]

[tex]f(7)=-\frac{4+18.522}{7}=-\frac{22.522}{7}[/tex]

[tex]f(7)=-3.217[/tex]

Hence, f(7)=-3.217