#### Answer

$f(-5)=-4$

#### Work Step by Step

Replacing $x$ with $-5$ in $f(x)=\sqrt[3]{12x-4},$ then
\begin{array}{l}\require{cancel}
f(-5)=\sqrt[3]{12(-5)-4}
\\\\
f(-5)=\sqrt[3]{-60-4}
\\\\
f(-5)=\sqrt[3]{-64}
\\\\
f(-5)=\sqrt[3]{(-4)^3}
\\\\
f(-5)=-4
.\end{array}