Answer:
To produce "c" as output, x must be=\sqrt[3]{\frac{c}{4} }
Step-by-step explanation:
You are asked to find what "x" value renders "c" as answer when applied to the given function.
So we need to basically solve for "x" in the equation: [tex]4x^3=c[/tex], that is isolate "x" on one side of the equal sign.
We do such by first dividing both sides of the equation by "4" so we isolate the cubic root that contains "x". Then, we apply the cubic root on both sides:
[tex]4x^3=c\\x^3=\frac{c}{4} \\x=\sqrt[3]{\frac{c}{4} }[/tex]