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ANSWER:

-11.4

STEP-BY-STEP EXPLANATION:

We have the following function:

[tex]f\mleft(x\mright)=\frac{100}{-10+e^{-0.1x}}[/tex]

We calculate the result when x = -2, just like this:

[tex]\begin{gathered} f(-2)=\frac{100}{-10+e^{-0.1\cdot-2}} \\ f(-2)=\frac{100}{-10+e^{0.2}} \\ f(-2)=\frac{100}{-10+1.22} \\ f(-2)=\frac{100}{-8.78} \\ f(-2)=-11.4 \end{gathered}[/tex]

When x = -2, the value of the function is equal to -11.4

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