Answer:
The value of function
is
![(-11)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xj9u4iifl43qbnn5m7n11foiy0ppx76m9t.png)
Explanation:
Given : function
![f(x)=x-6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9cm89esd8tmvzb97xeudrherx9uiqx09m4.png)
We have to find the value of function at
![f((1)/(2))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ybt645mkpkb8btrz868z5nnzgq4o4f92hz.png)
Consider the given function
![f(x)=x-6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9cm89esd8tmvzb97xeudrherx9uiqx09m4.png)
We have to find the value of function at
![f((1)/(2))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ybt645mkpkb8btrz868z5nnzgq4o4f92hz.png)
that is at
![x=(1)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/87qtte8lpqsqdotr3yo8hz906fxgd53q7j.png)
Put x =
in function , we have,
![f((1)/(2))=(1)/(2)-6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/99au427akide2k7zls9awrpbd66ap1jls2.png)
Taking LCM , we have
![f((1)/(2))=(1-12)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/75r8ems38m5zu1hv7144rmgq7mrdef97zp.png)
Solving , we have
![f((1)/(2))=(-11)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lrvig3727pdqlup5xzsaa0biyp2x394mun.png)
Thus, the value of function
is
![(-11)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xj9u4iifl43qbnn5m7n11foiy0ppx76m9t.png)