Respuesta :

For f(-11) replace x with -11 and solve:

f(-11) = 100 / -10 +e^-0.1(-11)

f(-11) = 100 / -10 +e^1.1

f(-11) = -14.3

The value of f(-11) is -14.28.

Given

The given function is;

[tex]\rm f(x)=\dfrac{100}{-10+e^{-0.1x}}\\\\[/tex]

What are functions?

Every element in X is related to Y No element in X has two or more relationships.

The value of f(-11) is found by the substitute the value of x  is -11 in the equation.

Then,

The value of f(-11) is;

[tex]\rm f(x)=\dfrac{100}{-10+e^{-0.1x}}\\\\ x=-11\\\\\rm f(-11)=\dfrac{100}{-10+e^{-0.1(-11)}}\\\\ \rm f(x)=\dfrac{100}{-10+e^{1.1}}\\\\ f(-11)=\dfrac{100}{-10+3}}\\\\ f(-11)=\dfrac{100}{-7}}\\\\f(-11)=-14.28[/tex]

Hence, The value of f(-11) is -14.28.

To know more about Functions click the link given below.

https://brainly.com/question/18838547