Respuesta :

We know that F(x) is the funtion that determines the absolute value of the cube of the imput, this means that F(x) is defined as:

[tex]F(x)=\lvert x^3\rvert[/tex]

Then:

[tex]\begin{gathered} F(5)\cdot F(-7)=\lvert5^3\rvert\cdot\lvert(-7)^3\rvert \\ =\lvert125\rvert\cdot\lvert-343\rvert \\ =125\cdot343 \\ =42875 \end{gathered}[/tex]

Therefore F(5)*F(-7)=42875.

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